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Finding the Fourth Proportional to 9,801.44, 14,702.17 and 5,428.13

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Solution

The fourth proportional to 9,801.44, 14,702.17 and 5,428.13 is: 8,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.44 : 14,702.17 = 5,428.13 : x
  2. Step 2: Convert to fraction form
    9,801.44/14,702.17 = 5,428.13/x
  3. Step 3: Cross multiply
    9,801.44x = 14,702.17 × 5,428.13
  4. Step 4: Simplify right side
    9,801.44x = 79,805,290.04
  5. Step 5: Solve for x
    x = 79,805,290.04/9,801.44
  6. Step 6: Final answer
    x = 8,142.20

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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.