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Finding the Fourth Proportional to 9,296.88, 12,829.99 and 5,105.13

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Solution

The fourth proportional to 9,296.88, 12,829.99 and 5,105.13 is: 7,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.88 : 12,829.99 = 5,105.13 : x
  2. Step 2: Convert to fraction form
    9,296.88/12,829.99 = 5,105.13/x
  3. Step 3: Cross multiply
    9,296.88x = 12,829.99 × 5,105.13
  4. Step 4: Simplify right side
    9,296.88x = 65,498,766.85
  5. Step 5: Solve for x
    x = 65,498,766.85/9,296.88
  6. Step 6: Final answer
    x = 7,045.24

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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.