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Finding the Fourth Proportional to 9,277.92, 12,803.49 and 5,086.17

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Solution

The fourth proportional to 9,277.92, 12,803.49 and 5,086.17 is: 7,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.92 : 12,803.49 = 5,086.17 : x
  2. Step 2: Convert to fraction form
    9,277.92/12,803.49 = 5,086.17/x
  3. Step 3: Cross multiply
    9,277.92x = 12,803.49 × 5,086.17
  4. Step 4: Simplify right side
    9,277.92x = 65,120,726.73
  5. Step 5: Solve for x
    x = 65,120,726.73/9,277.92
  6. Step 6: Final answer
    x = 7,018.89

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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.