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Finding the Fourth Proportional to 9,606.68, 14,414.48 and 4,061.32

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Solution

The fourth proportional to 9,606.68, 14,414.48 and 4,061.32 is: 6,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.68 : 14,414.48 = 4,061.32 : x
  2. Step 2: Convert to fraction form
    9,606.68/14,414.48 = 4,061.32/x
  3. Step 3: Cross multiply
    9,606.68x = 14,414.48 × 4,061.32
  4. Step 4: Simplify right side
    9,606.68x = 58,541,815.91
  5. Step 5: Solve for x
    x = 58,541,815.91/9,606.68
  6. Step 6: Final answer
    x = 6,093.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.