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Finding the Fourth Proportional to 6,884.69, 9,500.91 and 4,052.17

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Solution

The fourth proportional to 6,884.69, 9,500.91 and 4,052.17 is: 5,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.69 : 9,500.91 = 4,052.17 : x
  2. Step 2: Convert to fraction form
    6,884.69/9,500.91 = 4,052.17/x
  3. Step 3: Cross multiply
    6,884.69x = 9,500.91 × 4,052.17
  4. Step 4: Simplify right side
    6,884.69x = 38,499,302.47
  5. Step 5: Solve for x
    x = 38,499,302.47/6,884.69
  6. Step 6: Final answer
    x = 5,592.02

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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.