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Finding the Fourth Proportional to 6,132.80, 9,199.12 and 4,256.96

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Solution

The fourth proportional to 6,132.80, 9,199.12 and 4,256.96 is: 6,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.80 : 9,199.12 = 4,256.96 : x
  2. Step 2: Convert to fraction form
    6,132.80/9,199.12 = 4,256.96/x
  3. Step 3: Cross multiply
    6,132.80x = 9,199.12 × 4,256.96
  4. Step 4: Simplify right side
    6,132.80x = 39,160,285.88
  5. Step 5: Solve for x
    x = 39,160,285.88/6,132.80
  6. Step 6: Final answer
    x = 6,385.38

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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.