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Finding the Fourth Proportional to 6,119.76, 9,166.44 and 4,134.47

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Solution

The fourth proportional to 6,119.76, 9,166.44 and 4,134.47 is: 6,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.76 : 9,166.44 = 4,134.47 : x
  2. Step 2: Convert to fraction form
    6,119.76/9,166.44 = 4,134.47/x
  3. Step 3: Cross multiply
    6,119.76x = 9,166.44 × 4,134.47
  4. Step 4: Simplify right side
    6,119.76x = 37,898,340.86
  5. Step 5: Solve for x
    x = 37,898,340.86/6,119.76
  6. Step 6: Final answer
    x = 6,192.78

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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.