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Finding the Fourth Proportional to 6,317.41, 8,717.82 and 3,484.78

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Solution

The fourth proportional to 6,317.41, 8,717.82 and 3,484.78 is: 4,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.41 : 8,717.82 = 3,484.78 : x
  2. Step 2: Convert to fraction form
    6,317.41/8,717.82 = 3,484.78/x
  3. Step 3: Cross multiply
    6,317.41x = 8,717.82 × 3,484.78
  4. Step 4: Simplify right side
    6,317.41x = 30,379,684.78
  5. Step 5: Solve for x
    x = 30,379,684.78/6,317.41
  6. Step 6: Final answer
    x = 4,808.88

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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.