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Finding the Fourth Proportional to 6,874.39, 9,484.49 and 4,040.86

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Solution

The fourth proportional to 6,874.39, 9,484.49 and 4,040.86 is: 5,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.39 : 9,484.49 = 4,040.86 : x
  2. Step 2: Convert to fraction form
    6,874.39/9,484.49 = 4,040.86/x
  3. Step 3: Cross multiply
    6,874.39x = 9,484.49 × 4,040.86
  4. Step 4: Simplify right side
    6,874.39x = 38,325,496.26
  5. Step 5: Solve for x
    x = 38,325,496.26/6,874.39
  6. Step 6: Final answer
    x = 5,575.11

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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.