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Finding the Fourth Proportional to 9,122.42, 12,589.02 and 5,143.64

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Solution

The fourth proportional to 9,122.42, 12,589.02 and 5,143.64 is: 7,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.42 : 12,589.02 = 5,143.64 : x
  2. Step 2: Convert to fraction form
    9,122.42/12,589.02 = 5,143.64/x
  3. Step 3: Cross multiply
    9,122.42x = 12,589.02 × 5,143.64
  4. Step 4: Simplify right side
    9,122.42x = 64,753,323.89
  5. Step 5: Solve for x
    x = 64,753,323.89/9,122.42
  6. Step 6: Final answer
    x = 7,098.26

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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.