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Finding the Fourth Proportional to 9,711.89, 13,453.17 and 9,515.06

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Solution

The fourth proportional to 9,711.89, 13,453.17 and 9,515.06 is: 13,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.89 : 13,453.17 = 9,515.06 : x
  2. Step 2: Convert to fraction form
    9,711.89/13,453.17 = 9,515.06/x
  3. Step 3: Cross multiply
    9,711.89x = 13,453.17 × 9,515.06
  4. Step 4: Simplify right side
    9,711.89x = 128,007,672.16
  5. Step 5: Solve for x
    x = 128,007,672.16/9,711.89
  6. Step 6: Final answer
    x = 13,180.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.