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Finding the Fourth Proportional to 9,912.26, 14,867.10 and 5,754.50

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Solution

The fourth proportional to 9,912.26, 14,867.10 and 5,754.50 is: 8,631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.26 : 14,867.10 = 5,754.50 : x
  2. Step 2: Convert to fraction form
    9,912.26/14,867.10 = 5,754.50/x
  3. Step 3: Cross multiply
    9,912.26x = 14,867.10 × 5,754.50
  4. Step 4: Simplify right side
    9,912.26x = 85,552,726.95
  5. Step 5: Solve for x
    x = 85,552,726.95/9,912.26
  6. Step 6: Final answer
    x = 8,631.00

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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.