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Finding the Fourth Proportional to 6,039.66, 9,046.11 and 4,642.71

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Solution

The fourth proportional to 6,039.66, 9,046.11 and 4,642.71 is: 6,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,039.66 : 9,046.11 = 4,642.71 : x
  2. Step 2: Convert to fraction form
    6,039.66/9,046.11 = 4,642.71/x
  3. Step 3: Cross multiply
    6,039.66x = 9,046.11 × 4,642.71
  4. Step 4: Simplify right side
    6,039.66x = 41,998,465.36
  5. Step 5: Solve for x
    x = 41,998,465.36/6,039.66
  6. Step 6: Final answer
    x = 6,953.78

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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.