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Finding the Fourth Proportional to 10,515.14, 15,754.15 and 9,371.06

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Solution

The fourth proportional to 10,515.14, 15,754.15 and 9,371.06 is: 14,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.14 : 15,754.15 = 9,371.06 : x
  2. Step 2: Convert to fraction form
    10,515.14/15,754.15 = 9,371.06/x
  3. Step 3: Cross multiply
    10,515.14x = 15,754.15 × 9,371.06
  4. Step 4: Simplify right side
    10,515.14x = 147,633,084.90
  5. Step 5: Solve for x
    x = 147,633,084.90/10,515.14
  6. Step 6: Final answer
    x = 14,040.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.