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Finding the Fourth Proportional to 7,175.97, 9,902.67 and 4,032.15

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Solution

The fourth proportional to 7,175.97, 9,902.67 and 4,032.15 is: 5,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.97 : 9,902.67 = 4,032.15 : x
  2. Step 2: Convert to fraction form
    7,175.97/9,902.67 = 4,032.15/x
  3. Step 3: Cross multiply
    7,175.97x = 9,902.67 × 4,032.15
  4. Step 4: Simplify right side
    7,175.97x = 39,929,050.84
  5. Step 5: Solve for x
    x = 39,929,050.84/7,175.97
  6. Step 6: Final answer
    x = 5,564.27

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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.