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Finding the Fourth Proportional to 6,839.97, 9,445.37 and 5,158.50

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Solution

The fourth proportional to 6,839.97, 9,445.37 and 5,158.50 is: 7,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.97 : 9,445.37 = 5,158.50 : x
  2. Step 2: Convert to fraction form
    6,839.97/9,445.37 = 5,158.50/x
  3. Step 3: Cross multiply
    6,839.97x = 9,445.37 × 5,158.50
  4. Step 4: Simplify right side
    6,839.97x = 48,723,941.15
  5. Step 5: Solve for x
    x = 48,723,941.15/6,839.97
  6. Step 6: Final answer
    x = 7,123.41

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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.