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Finding the Fourth Proportional to 6,124.76, 9,188.52 and 2,229.20

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Solution

The fourth proportional to 6,124.76, 9,188.52 and 2,229.20 is: 3,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.76 : 9,188.52 = 2,229.20 : x
  2. Step 2: Convert to fraction form
    6,124.76/9,188.52 = 2,229.20/x
  3. Step 3: Cross multiply
    6,124.76x = 9,188.52 × 2,229.20
  4. Step 4: Simplify right side
    6,124.76x = 20,483,048.78
  5. Step 5: Solve for x
    x = 20,483,048.78/6,124.76
  6. Step 6: Final answer
    x = 3,344.30

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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.