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Finding the Fourth Proportional to 9,741.93, 14,612.75 and 9,119.31

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Solution

The fourth proportional to 9,741.93, 14,612.75 and 9,119.31 is: 13,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.93 : 14,612.75 = 9,119.31 : x
  2. Step 2: Convert to fraction form
    9,741.93/14,612.75 = 9,119.31/x
  3. Step 3: Cross multiply
    9,741.93x = 14,612.75 × 9,119.31
  4. Step 4: Simplify right side
    9,741.93x = 133,258,151.61
  5. Step 5: Solve for x
    x = 133,258,151.61/9,741.93
  6. Step 6: Final answer
    x = 13,678.82

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.