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Finding the Fourth Proportional to 9,005.90, 13,508.84 and 3,082.86

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Solution

The fourth proportional to 9,005.90, 13,508.84 and 3,082.86 is: 4,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.90 : 13,508.84 = 3,082.86 : x
  2. Step 2: Convert to fraction form
    9,005.90/13,508.84 = 3,082.86/x
  3. Step 3: Cross multiply
    9,005.90x = 13,508.84 × 3,082.86
  4. Step 4: Simplify right side
    9,005.90x = 41,645,876.69
  5. Step 5: Solve for x
    x = 41,645,876.69/9,005.90
  6. Step 6: Final answer
    x = 4,624.29

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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.