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Finding the Fourth Proportional to 7,175.26, 9,901.92 and 4,031.74

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Solution

The fourth proportional to 7,175.26, 9,901.92 and 4,031.74 is: 5,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.26 : 9,901.92 = 4,031.74 : x
  2. Step 2: Convert to fraction form
    7,175.26/9,901.92 = 4,031.74/x
  3. Step 3: Cross multiply
    7,175.26x = 9,901.92 × 4,031.74
  4. Step 4: Simplify right side
    7,175.26x = 39,921,966.94
  5. Step 5: Solve for x
    x = 39,921,966.94/7,175.26
  6. Step 6: Final answer
    x = 5,563.84

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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.