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Finding the Fourth Proportional to 9,103.65, 12,558.82 and 6,581.76

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Solution

The fourth proportional to 9,103.65, 12,558.82 and 6,581.76 is: 9,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.65 : 12,558.82 = 6,581.76 : x
  2. Step 2: Convert to fraction form
    9,103.65/12,558.82 = 6,581.76/x
  3. Step 3: Cross multiply
    9,103.65x = 12,558.82 × 6,581.76
  4. Step 4: Simplify right side
    9,103.65x = 82,659,139.12
  5. Step 5: Solve for x
    x = 82,659,139.12/9,103.65
  6. Step 6: Final answer
    x = 9,079.78

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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.