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Finding the Fourth Proportional to 6,839.57, 9,432.32 and 4,317.32

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Solution

The fourth proportional to 6,839.57, 9,432.32 and 4,317.32 is: 5,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.57 : 9,432.32 = 4,317.32 : x
  2. Step 2: Convert to fraction form
    6,839.57/9,432.32 = 4,317.32/x
  3. Step 3: Cross multiply
    6,839.57x = 9,432.32 × 4,317.32
  4. Step 4: Simplify right side
    6,839.57x = 40,722,345.78
  5. Step 5: Solve for x
    x = 40,722,345.78/6,839.57
  6. Step 6: Final answer
    x = 5,953.93

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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.