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Finding the Fourth Proportional to 6,527.85, 9,744 and 5,609.31

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Solution

The fourth proportional to 6,527.85, 9,744 and 5,609.31 is: 8,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.85 : 9,744 = 5,609.31 : x
  2. Step 2: Convert to fraction form
    6,527.85/9,744 = 5,609.31/x
  3. Step 3: Cross multiply
    6,527.85x = 9,744 × 5,609.31
  4. Step 4: Simplify right side
    6,527.85x = 54,657,116.64
  5. Step 5: Solve for x
    x = 54,657,116.64/6,527.85
  6. Step 6: Final answer
    x = 8,372.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.