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Finding the Fourth Proportional to 9,765.85, 13,476.57 and 5,517.10

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Solution

The fourth proportional to 9,765.85, 13,476.57 and 5,517.10 is: 7,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.85 : 13,476.57 = 5,517.10 : x
  2. Step 2: Convert to fraction form
    9,765.85/13,476.57 = 5,517.10/x
  3. Step 3: Cross multiply
    9,765.85x = 13,476.57 × 5,517.10
  4. Step 4: Simplify right side
    9,765.85x = 74,351,584.35
  5. Step 5: Solve for x
    x = 74,351,584.35/9,765.85
  6. Step 6: Final answer
    x = 7,613.43

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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.