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Finding the Fourth Proportional to 9,277.92, 12,805.92 and 6,298.74

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Solution

The fourth proportional to 9,277.92, 12,805.92 and 6,298.74 is: 8,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.92 : 12,805.92 = 6,298.74 : x
  2. Step 2: Convert to fraction form
    9,277.92/12,805.92 = 6,298.74/x
  3. Step 3: Cross multiply
    9,277.92x = 12,805.92 × 6,298.74
  4. Step 4: Simplify right side
    9,277.92x = 80,661,160.54
  5. Step 5: Solve for x
    x = 80,661,160.54/9,277.92
  6. Step 6: Final answer
    x = 8,693.88

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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.