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Finding the Fourth Proportional to 9,840.26, 14,757.20 and 3,264.68

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Solution

The fourth proportional to 9,840.26, 14,757.20 and 3,264.68 is: 4,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.26 : 14,757.20 = 3,264.68 : x
  2. Step 2: Convert to fraction form
    9,840.26/14,757.20 = 3,264.68/x
  3. Step 3: Cross multiply
    9,840.26x = 14,757.20 × 3,264.68
  4. Step 4: Simplify right side
    9,840.26x = 48,177,535.70
  5. Step 5: Solve for x
    x = 48,177,535.70/9,840.26
  6. Step 6: Final answer
    x = 4,895.96

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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.