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Finding the Fourth Proportional to 9,920.26, 13,687.14 and 6,384.61

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Solution

The fourth proportional to 9,920.26, 13,687.14 and 6,384.61 is: 8,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.26 : 13,687.14 = 6,384.61 : x
  2. Step 2: Convert to fraction form
    9,920.26/13,687.14 = 6,384.61/x
  3. Step 3: Cross multiply
    9,920.26x = 13,687.14 × 6,384.61
  4. Step 4: Simplify right side
    9,920.26x = 87,387,050.92
  5. Step 5: Solve for x
    x = 87,387,050.92/9,920.26
  6. Step 6: Final answer
    x = 8,808.95

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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.