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Finding the Fourth Proportional to 7,175.46, 9,902.28 and 4,031.58

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Solution

The fourth proportional to 7,175.46, 9,902.28 and 4,031.58 is: 5,563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.46 : 9,902.28 = 4,031.58 : x
  2. Step 2: Convert to fraction form
    7,175.46/9,902.28 = 4,031.58/x
  3. Step 3: Cross multiply
    7,175.46x = 9,902.28 × 4,031.58
  4. Step 4: Simplify right side
    7,175.46x = 39,921,834.00
  5. Step 5: Solve for x
    x = 39,921,834.00/7,175.46
  6. Step 6: Final answer
    x = 5,563.66

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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.