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Finding the Fourth Proportional to 6,876.78, 9,484.11 and 4,638.30

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Solution

The fourth proportional to 6,876.78, 9,484.11 and 4,638.30 is: 6,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.78 : 9,484.11 = 4,638.30 : x
  2. Step 2: Convert to fraction form
    6,876.78/9,484.11 = 4,638.30/x
  3. Step 3: Cross multiply
    6,876.78x = 9,484.11 × 4,638.30
  4. Step 4: Simplify right side
    6,876.78x = 43,990,147.41
  5. Step 5: Solve for x
    x = 43,990,147.41/6,876.78
  6. Step 6: Final answer
    x = 6,396.91

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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.