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Finding the Fourth Proportional to 9,306.54, 12,856.09 and 8,465.76

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Solution

The fourth proportional to 9,306.54, 12,856.09 and 8,465.76 is: 11,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.54 : 12,856.09 = 8,465.76 : x
  2. Step 2: Convert to fraction form
    9,306.54/12,856.09 = 8,465.76/x
  3. Step 3: Cross multiply
    9,306.54x = 12,856.09 × 8,465.76
  4. Step 4: Simplify right side
    9,306.54x = 108,836,551.31
  5. Step 5: Solve for x
    x = 108,836,551.31/9,306.54
  6. Step 6: Final answer
    x = 11,694.63

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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.