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Finding the Fourth Proportional to 6,092.28, 9,137.72 and 1,649.74

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Solution

The fourth proportional to 6,092.28, 9,137.72 and 1,649.74 is: 2,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.28 : 9,137.72 = 1,649.74 : x
  2. Step 2: Convert to fraction form
    6,092.28/9,137.72 = 1,649.74/x
  3. Step 3: Cross multiply
    6,092.28x = 9,137.72 × 1,649.74
  4. Step 4: Simplify right side
    6,092.28x = 15,074,831.10
  5. Step 5: Solve for x
    x = 15,074,831.10/6,092.28
  6. Step 6: Final answer
    x = 2,474.42

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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.