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Finding the Fourth Proportional to 6,179.68, 9,261.42 and 5,354.56

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Solution

The fourth proportional to 6,179.68, 9,261.42 and 5,354.56 is: 8,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.68 : 9,261.42 = 5,354.56 : x
  2. Step 2: Convert to fraction form
    6,179.68/9,261.42 = 5,354.56/x
  3. Step 3: Cross multiply
    6,179.68x = 9,261.42 × 5,354.56
  4. Step 4: Simplify right side
    6,179.68x = 49,590,829.08
  5. Step 5: Solve for x
    x = 49,590,829.08/6,179.68
  6. Step 6: Final answer
    x = 8,024.82

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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.