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Finding the Fourth Proportional to 9,116.80, 12,581.76 and 5,138.26

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Solution

The fourth proportional to 9,116.80, 12,581.76 and 5,138.26 is: 7,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.80 : 12,581.76 = 5,138.26 : x
  2. Step 2: Convert to fraction form
    9,116.80/12,581.76 = 5,138.26/x
  3. Step 3: Cross multiply
    9,116.80x = 12,581.76 × 5,138.26
  4. Step 4: Simplify right side
    9,116.80x = 64,648,354.14
  5. Step 5: Solve for x
    x = 64,648,354.14/9,116.80
  6. Step 6: Final answer
    x = 7,091.12

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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.