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Finding the Fourth Proportional to 9,711.90, 13,393.62 and 6,353.64

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Solution

The fourth proportional to 9,711.90, 13,393.62 and 6,353.64 is: 8,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.90 : 13,393.62 = 6,353.64 : x
  2. Step 2: Convert to fraction form
    9,711.90/13,393.62 = 6,353.64/x
  3. Step 3: Cross multiply
    9,711.90x = 13,393.62 × 6,353.64
  4. Step 4: Simplify right side
    9,711.90x = 85,098,239.78
  5. Step 5: Solve for x
    x = 85,098,239.78/9,711.90
  6. Step 6: Final answer
    x = 8,762.26

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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.