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Finding the Fourth Proportional to 9,122.79, 13,683.15 and 2,882.82

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Solution

The fourth proportional to 9,122.79, 13,683.15 and 2,882.82 is: 4,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.79 : 13,683.15 = 2,882.82 : x
  2. Step 2: Convert to fraction form
    9,122.79/13,683.15 = 2,882.82/x
  3. Step 3: Cross multiply
    9,122.79x = 13,683.15 × 2,882.82
  4. Step 4: Simplify right side
    9,122.79x = 39,446,058.48
  5. Step 5: Solve for x
    x = 39,446,058.48/9,122.79
  6. Step 6: Final answer
    x = 4,323.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.