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Finding the Fourth Proportional to 6,568.20, 9,065.58 and 4,177.71

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Solution

The fourth proportional to 6,568.20, 9,065.58 and 4,177.71 is: 5,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.20 : 9,065.58 = 4,177.71 : x
  2. Step 2: Convert to fraction form
    6,568.20/9,065.58 = 4,177.71/x
  3. Step 3: Cross multiply
    6,568.20x = 9,065.58 × 4,177.71
  4. Step 4: Simplify right side
    6,568.20x = 37,873,364.22
  5. Step 5: Solve for x
    x = 37,873,364.22/6,568.20
  6. Step 6: Final answer
    x = 5,766.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.