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Finding the Fourth Proportional to 9,387.82, 12,951.30 and 6,029.92

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Solution

The fourth proportional to 9,387.82, 12,951.30 and 6,029.92 is: 8,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.82 : 12,951.30 = 6,029.92 : x
  2. Step 2: Convert to fraction form
    9,387.82/12,951.30 = 6,029.92/x
  3. Step 3: Cross multiply
    9,387.82x = 12,951.30 × 6,029.92
  4. Step 4: Simplify right side
    9,387.82x = 78,095,302.90
  5. Step 5: Solve for x
    x = 78,095,302.90/9,387.82
  6. Step 6: Final answer
    x = 8,318.79

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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.