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Finding the Fourth Proportional to 9,122.43, 12,587.89 and 5,143.31

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Solution

The fourth proportional to 9,122.43, 12,587.89 and 5,143.31 is: 7,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.43 : 12,587.89 = 5,143.31 : x
  2. Step 2: Convert to fraction form
    9,122.43/12,587.89 = 5,143.31/x
  3. Step 3: Cross multiply
    9,122.43x = 12,587.89 × 5,143.31
  4. Step 4: Simplify right side
    9,122.43x = 64,743,401.57
  5. Step 5: Solve for x
    x = 64,743,401.57/9,122.43
  6. Step 6: Final answer
    x = 7,097.16

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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.