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Finding the Fourth Proportional to 9,565.28, 14,342.04 and 3,322.61

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Solution

The fourth proportional to 9,565.28, 14,342.04 and 3,322.61 is: 4,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.28 : 14,342.04 = 3,322.61 : x
  2. Step 2: Convert to fraction form
    9,565.28/14,342.04 = 3,322.61/x
  3. Step 3: Cross multiply
    9,565.28x = 14,342.04 × 3,322.61
  4. Step 4: Simplify right side
    9,565.28x = 47,652,917.20
  5. Step 5: Solve for x
    x = 47,652,917.20/9,565.28
  6. Step 6: Final answer
    x = 4,981.87

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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.