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Finding the Fourth Proportional to 6,180.68, 9,253.20 and 4,102.76

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Solution

The fourth proportional to 6,180.68, 9,253.20 and 4,102.76 is: 6,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.68 : 9,253.20 = 4,102.76 : x
  2. Step 2: Convert to fraction form
    6,180.68/9,253.20 = 4,102.76/x
  3. Step 3: Cross multiply
    6,180.68x = 9,253.20 × 4,102.76
  4. Step 4: Simplify right side
    6,180.68x = 37,963,658.83
  5. Step 5: Solve for x
    x = 37,963,658.83/6,180.68
  6. Step 6: Final answer
    x = 6,142.31

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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.