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Finding the Fourth Proportional to 9,122.42, 13,683.54 and 2,966.42

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Solution

The fourth proportional to 9,122.42, 13,683.54 and 2,966.42 is: 4,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.42 : 13,683.54 = 2,966.42 : x
  2. Step 2: Convert to fraction form
    9,122.42/13,683.54 = 2,966.42/x
  3. Step 3: Cross multiply
    9,122.42x = 13,683.54 × 2,966.42
  4. Step 4: Simplify right side
    9,122.42x = 40,591,126.73
  5. Step 5: Solve for x
    x = 40,591,126.73/9,122.42
  6. Step 6: Final answer
    x = 4,449.60

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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.