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Finding the Fourth Proportional to 9,709.52, 13,397.06 and 6,171.44

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Solution

The fourth proportional to 9,709.52, 13,397.06 and 6,171.44 is: 8,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.52 : 13,397.06 = 6,171.44 : x
  2. Step 2: Convert to fraction form
    9,709.52/13,397.06 = 6,171.44/x
  3. Step 3: Cross multiply
    9,709.52x = 13,397.06 × 6,171.44
  4. Step 4: Simplify right side
    9,709.52x = 82,679,151.97
  5. Step 5: Solve for x
    x = 82,679,151.97/9,709.52
  6. Step 6: Final answer
    x = 8,515.27

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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.