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Finding the Fourth Proportional to 6,948.34, 9,589.22 and 3,964.24

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Solution

The fourth proportional to 6,948.34, 9,589.22 and 3,964.24 is: 5,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.34 : 9,589.22 = 3,964.24 : x
  2. Step 2: Convert to fraction form
    6,948.34/9,589.22 = 3,964.24/x
  3. Step 3: Cross multiply
    6,948.34x = 9,589.22 × 3,964.24
  4. Step 4: Simplify right side
    6,948.34x = 38,013,969.49
  5. Step 5: Solve for x
    x = 38,013,969.49/6,948.34
  6. Step 6: Final answer
    x = 5,470.94

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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.