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Finding the Fourth Proportional to 9,251.06, 12,766.47 and 5,059.31

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Solution

The fourth proportional to 9,251.06, 12,766.47 and 5,059.31 is: 6,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.06 : 12,766.47 = 5,059.31 : x
  2. Step 2: Convert to fraction form
    9,251.06/12,766.47 = 5,059.31/x
  3. Step 3: Cross multiply
    9,251.06x = 12,766.47 × 5,059.31
  4. Step 4: Simplify right side
    9,251.06x = 64,589,529.34
  5. Step 5: Solve for x
    x = 64,589,529.34/9,251.06
  6. Step 6: Final answer
    x = 6,981.85

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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.