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Finding the Fourth Proportional to 9,902.38, 13,665.24 and 5,426.26

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Solution

The fourth proportional to 9,902.38, 13,665.24 and 5,426.26 is: 7,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.38 : 13,665.24 = 5,426.26 : x
  2. Step 2: Convert to fraction form
    9,902.38/13,665.24 = 5,426.26/x
  3. Step 3: Cross multiply
    9,902.38x = 13,665.24 × 5,426.26
  4. Step 4: Simplify right side
    9,902.38x = 74,151,145.20
  5. Step 5: Solve for x
    x = 74,151,145.20/9,902.38
  6. Step 6: Final answer
    x = 7,488.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.