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Finding the Fourth Proportional to 12,252.46, 16,908.56 and 6,947.16

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Solution

The fourth proportional to 12,252.46, 16,908.56 and 6,947.16 is: 9,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252.46 : 16,908.56 = 6,947.16 : x
  2. Step 2: Convert to fraction form
    12,252.46/16,908.56 = 6,947.16/x
  3. Step 3: Cross multiply
    12,252.46x = 16,908.56 × 6,947.16
  4. Step 4: Simplify right side
    12,252.46x = 117,466,471.69
  5. Step 5: Solve for x
    x = 117,466,471.69/12,252.46
  6. Step 6: Final answer
    x = 9,587.17

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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.