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Finding the Fourth Proportional to 9,731.68, 14,615.13 and 8,950.28

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Solution

The fourth proportional to 9,731.68, 14,615.13 and 8,950.28 is: 13,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.68 : 14,615.13 = 8,950.28 : x
  2. Step 2: Convert to fraction form
    9,731.68/14,615.13 = 8,950.28/x
  3. Step 3: Cross multiply
    9,731.68x = 14,615.13 × 8,950.28
  4. Step 4: Simplify right side
    9,731.68x = 130,809,432.66
  5. Step 5: Solve for x
    x = 130,809,432.66/9,731.68
  6. Step 6: Final answer
    x = 13,441.61

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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.