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Finding the Fourth Proportional to 9,902.80, 13,665.36 and 5,425.75

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Solution

The fourth proportional to 9,902.80, 13,665.36 and 5,425.75 is: 7,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.80 : 13,665.36 = 5,425.75 : x
  2. Step 2: Convert to fraction form
    9,902.80/13,665.36 = 5,425.75/x
  3. Step 3: Cross multiply
    9,902.80x = 13,665.36 × 5,425.75
  4. Step 4: Simplify right side
    9,902.80x = 74,144,827.02
  5. Step 5: Solve for x
    x = 74,144,827.02/9,902.80
  6. Step 6: Final answer
    x = 7,487.26

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