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Finding the Fourth Proportional to 9,879.82, 13,647.46 and 7,904.50

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Solution

The fourth proportional to 9,879.82, 13,647.46 and 7,904.50 is: 10,918.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.82 : 13,647.46 = 7,904.50 : x
  2. Step 2: Convert to fraction form
    9,879.82/13,647.46 = 7,904.50/x
  3. Step 3: Cross multiply
    9,879.82x = 13,647.46 × 7,904.50
  4. Step 4: Simplify right side
    9,879.82x = 107,876,279.33
  5. Step 5: Solve for x
    x = 107,876,279.33/9,879.82
  6. Step 6: Final answer
    x = 10,918.86

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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.