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Finding the Fourth Proportional to 9,792.29, 13,511.99 and 5,759.30

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Solution

The fourth proportional to 9,792.29, 13,511.99 and 5,759.30 is: 7,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.29 : 13,511.99 = 5,759.30 : x
  2. Step 2: Convert to fraction form
    9,792.29/13,511.99 = 5,759.30/x
  3. Step 3: Cross multiply
    9,792.29x = 13,511.99 × 5,759.30
  4. Step 4: Simplify right side
    9,792.29x = 77,819,507.65
  5. Step 5: Solve for x
    x = 77,819,507.65/9,792.29
  6. Step 6: Final answer
    x = 7,947.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.