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Finding the Fourth Proportional to 9,794.24, 13,516.13 and 5,759.99

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Solution

The fourth proportional to 9,794.24, 13,516.13 and 5,759.99 is: 7,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.24 : 13,516.13 = 5,759.99 : x
  2. Step 2: Convert to fraction form
    9,794.24/13,516.13 = 5,759.99/x
  3. Step 3: Cross multiply
    9,794.24x = 13,516.13 × 5,759.99
  4. Step 4: Simplify right side
    9,794.24x = 77,852,677.26
  5. Step 5: Solve for x
    x = 77,852,677.26/9,794.24
  6. Step 6: Final answer
    x = 7,948.83

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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.