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Finding the Fourth Proportional to 7,175.13, 9,902.61 and 4,031.93

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Solution

The fourth proportional to 7,175.13, 9,902.61 and 4,031.93 is: 5,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.13 : 9,902.61 = 4,031.93 : x
  2. Step 2: Convert to fraction form
    7,175.13/9,902.61 = 4,031.93/x
  3. Step 3: Cross multiply
    7,175.13x = 9,902.61 × 4,031.93
  4. Step 4: Simplify right side
    7,175.13x = 39,926,630.34
  5. Step 5: Solve for x
    x = 39,926,630.34/7,175.13
  6. Step 6: Final answer
    x = 5,564.59

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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.