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Finding the Fourth Proportional to 6,102.40, 9,149.52 and 2,811.04

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Solution

The fourth proportional to 6,102.40, 9,149.52 and 2,811.04 is: 4,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.40 : 9,149.52 = 2,811.04 : x
  2. Step 2: Convert to fraction form
    6,102.40/9,149.52 = 2,811.04/x
  3. Step 3: Cross multiply
    6,102.40x = 9,149.52 × 2,811.04
  4. Step 4: Simplify right side
    6,102.40x = 25,719,666.70
  5. Step 5: Solve for x
    x = 25,719,666.70/6,102.40
  6. Step 6: Final answer
    x = 4,214.68

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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.