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Finding the Fourth Proportional to 6,785.17, 9,364.01 and 4,132.22

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Solution

The fourth proportional to 6,785.17, 9,364.01 and 4,132.22 is: 5,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.17 : 9,364.01 = 4,132.22 : x
  2. Step 2: Convert to fraction form
    6,785.17/9,364.01 = 4,132.22/x
  3. Step 3: Cross multiply
    6,785.17x = 9,364.01 × 4,132.22
  4. Step 4: Simplify right side
    6,785.17x = 38,694,081.92
  5. Step 5: Solve for x
    x = 38,694,081.92/6,785.17
  6. Step 6: Final answer
    x = 5,702.75

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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.