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Finding the Fourth Proportional to 9,759.67, 14,639.46 and 2,364.13

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Solution

The fourth proportional to 9,759.67, 14,639.46 and 2,364.13 is: 3,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.67 : 14,639.46 = 2,364.13 : x
  2. Step 2: Convert to fraction form
    9,759.67/14,639.46 = 2,364.13/x
  3. Step 3: Cross multiply
    9,759.67x = 14,639.46 × 2,364.13
  4. Step 4: Simplify right side
    9,759.67x = 34,609,626.56
  5. Step 5: Solve for x
    x = 34,609,626.56/9,759.67
  6. Step 6: Final answer
    x = 3,546.19

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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.