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Finding the Fourth Proportional to 9,951.49, 13,732.06 and 5,701.74

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Solution

The fourth proportional to 9,951.49, 13,732.06 and 5,701.74 is: 7,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.49 : 13,732.06 = 5,701.74 : x
  2. Step 2: Convert to fraction form
    9,951.49/13,732.06 = 5,701.74/x
  3. Step 3: Cross multiply
    9,951.49x = 13,732.06 × 5,701.74
  4. Step 4: Simplify right side
    9,951.49x = 78,296,635.78
  5. Step 5: Solve for x
    x = 78,296,635.78/9,951.49
  6. Step 6: Final answer
    x = 7,867.83

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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.