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Finding the Fourth Proportional to 9,106.64, 12,572.52 and 8,581.76

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Solution

The fourth proportional to 9,106.64, 12,572.52 and 8,581.76 is: 11,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.64 : 12,572.52 = 8,581.76 : x
  2. Step 2: Convert to fraction form
    9,106.64/12,572.52 = 8,581.76/x
  3. Step 3: Cross multiply
    9,106.64x = 12,572.52 × 8,581.76
  4. Step 4: Simplify right side
    9,106.64x = 107,894,349.24
  5. Step 5: Solve for x
    x = 107,894,349.24/9,106.64
  6. Step 6: Final answer
    x = 11,847.88

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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.