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Finding the Fourth Proportional to 9,812.30, 14,718.45 and 9,164.30

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Solution

The fourth proportional to 9,812.30, 14,718.45 and 9,164.30 is: 13,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.30 : 14,718.45 = 9,164.30 : x
  2. Step 2: Convert to fraction form
    9,812.30/14,718.45 = 9,164.30/x
  3. Step 3: Cross multiply
    9,812.30x = 14,718.45 × 9,164.30
  4. Step 4: Simplify right side
    9,812.30x = 134,884,291.34
  5. Step 5: Solve for x
    x = 134,884,291.34/9,812.30
  6. Step 6: Final answer
    x = 13,746.45

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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.