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Finding the Fourth Proportional to 9,117.40, 12,581.22 and 5,138.14

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Solution

The fourth proportional to 9,117.40, 12,581.22 and 5,138.14 is: 7,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.40 : 12,581.22 = 5,138.14 : x
  2. Step 2: Convert to fraction form
    9,117.40/12,581.22 = 5,138.14/x
  3. Step 3: Cross multiply
    9,117.40x = 12,581.22 × 5,138.14
  4. Step 4: Simplify right side
    9,117.40x = 64,644,069.73
  5. Step 5: Solve for x
    x = 64,644,069.73/9,117.40
  6. Step 6: Final answer
    x = 7,090.19

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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.