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Finding the Fourth Proportional to 9,712.71, 13,403.88 and 6,175.85

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Solution

The fourth proportional to 9,712.71, 13,403.88 and 6,175.85 is: 8,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.71 : 13,403.88 = 6,175.85 : x
  2. Step 2: Convert to fraction form
    9,712.71/13,403.88 = 6,175.85/x
  3. Step 3: Cross multiply
    9,712.71x = 13,403.88 × 6,175.85
  4. Step 4: Simplify right side
    9,712.71x = 82,780,285.28
  5. Step 5: Solve for x
    x = 82,780,285.28/9,712.71
  6. Step 6: Final answer
    x = 8,522.88

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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.