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Finding the Fourth Proportional to 6,794.67, 9,377.33 and 4,432.71

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Solution

The fourth proportional to 6,794.67, 9,377.33 and 4,432.71 is: 6,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.67 : 9,377.33 = 4,432.71 : x
  2. Step 2: Convert to fraction form
    6,794.67/9,377.33 = 4,432.71/x
  3. Step 3: Cross multiply
    6,794.67x = 9,377.33 × 4,432.71
  4. Step 4: Simplify right side
    6,794.67x = 41,566,962.30
  5. Step 5: Solve for x
    x = 41,566,962.30/6,794.67
  6. Step 6: Final answer
    x = 6,117.58

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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.