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Finding the Fourth Proportional to 8,301.42, 11,444.94 and 6,879.78

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Solution

The fourth proportional to 8,301.42, 11,444.94 and 6,879.78 is: 9,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.42 : 11,444.94 = 6,879.78 : x
  2. Step 2: Convert to fraction form
    8,301.42/11,444.94 = 6,879.78/x
  3. Step 3: Cross multiply
    8,301.42x = 11,444.94 × 6,879.78
  4. Step 4: Simplify right side
    8,301.42x = 78,738,669.31
  5. Step 5: Solve for x
    x = 78,738,669.31/8,301.42
  6. Step 6: Final answer
    x = 9,484.96

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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.