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Finding the Fourth Proportional to 9,142.67, 13,714.01 and 3,218.16

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Solution

The fourth proportional to 9,142.67, 13,714.01 and 3,218.16 is: 4,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.67 : 13,714.01 = 3,218.16 : x
  2. Step 2: Convert to fraction form
    9,142.67/13,714.01 = 3,218.16/x
  3. Step 3: Cross multiply
    9,142.67x = 13,714.01 × 3,218.16
  4. Step 4: Simplify right side
    9,142.67x = 44,133,925.83
  5. Step 5: Solve for x
    x = 44,133,925.83/9,142.67
  6. Step 6: Final answer
    x = 4,827.25

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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.