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Finding the Fourth Proportional to 9,633.32, 14,429.28 and 8,581.76

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Solution

The fourth proportional to 9,633.32, 14,429.28 and 8,581.76 is: 12,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.32 : 14,429.28 = 8,581.76 : x
  2. Step 2: Convert to fraction form
    9,633.32/14,429.28 = 8,581.76/x
  3. Step 3: Cross multiply
    9,633.32x = 14,429.28 × 8,581.76
  4. Step 4: Simplify right side
    9,633.32x = 123,828,617.93
  5. Step 5: Solve for x
    x = 123,828,617.93/9,633.32
  6. Step 6: Final answer
    x = 12,854.20

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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.