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Finding the Fourth Proportional to 9,478.82, 13,078.15 and 6,121.78

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Solution

The fourth proportional to 9,478.82, 13,078.15 and 6,121.78 is: 8,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.82 : 13,078.15 = 6,121.78 : x
  2. Step 2: Convert to fraction form
    9,478.82/13,078.15 = 6,121.78/x
  3. Step 3: Cross multiply
    9,478.82x = 13,078.15 × 6,121.78
  4. Step 4: Simplify right side
    9,478.82x = 80,061,461.11
  5. Step 5: Solve for x
    x = 80,061,461.11/9,478.82
  6. Step 6: Final answer
    x = 8,446.35

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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.