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Finding the Fourth Proportional to 9,121.33, 12,587.42 and 5,142.42

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Solution

The fourth proportional to 9,121.33, 12,587.42 and 5,142.42 is: 7,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.33 : 12,587.42 = 5,142.42 : x
  2. Step 2: Convert to fraction form
    9,121.33/12,587.42 = 5,142.42/x
  3. Step 3: Cross multiply
    9,121.33x = 12,587.42 × 5,142.42
  4. Step 4: Simplify right side
    9,121.33x = 64,729,764.66
  5. Step 5: Solve for x
    x = 64,729,764.66/9,121.33
  6. Step 6: Final answer
    x = 7,096.52

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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.