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Finding the Fourth Proportional to 7,175.72, 9,901.42 and 4,031.30

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Solution

The fourth proportional to 7,175.72, 9,901.42 and 4,031.30 is: 5,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.72 : 9,901.42 = 4,031.30 : x
  2. Step 2: Convert to fraction form
    7,175.72/9,901.42 = 4,031.30/x
  3. Step 3: Cross multiply
    7,175.72x = 9,901.42 × 4,031.30
  4. Step 4: Simplify right side
    7,175.72x = 39,915,594.45
  5. Step 5: Solve for x
    x = 39,915,594.45/7,175.72
  6. Step 6: Final answer
    x = 5,562.59

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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.