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Finding the Fourth Proportional to 9,747.90, 13,452.12 and 5,770.98

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Solution

The fourth proportional to 9,747.90, 13,452.12 and 5,770.98 is: 7,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.90 : 13,452.12 = 5,770.98 : x
  2. Step 2: Convert to fraction form
    9,747.90/13,452.12 = 5,770.98/x
  3. Step 3: Cross multiply
    9,747.90x = 13,452.12 × 5,770.98
  4. Step 4: Simplify right side
    9,747.90x = 77,631,915.48
  5. Step 5: Solve for x
    x = 77,631,915.48/9,747.90
  6. Step 6: Final answer
    x = 7,963.96

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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.