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Finding the Fourth Proportional to 6,132.16, 9,202.80 and 3,013.84

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Solution

The fourth proportional to 6,132.16, 9,202.80 and 3,013.84 is: 4,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.16 : 9,202.80 = 3,013.84 : x
  2. Step 2: Convert to fraction form
    6,132.16/9,202.80 = 3,013.84/x
  3. Step 3: Cross multiply
    6,132.16x = 9,202.80 × 3,013.84
  4. Step 4: Simplify right side
    6,132.16x = 27,735,766.75
  5. Step 5: Solve for x
    x = 27,735,766.75/6,132.16
  6. Step 6: Final answer
    x = 4,523.00

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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.