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Finding the Fourth Proportional to 6,974.08, 9,610.04 and 6,481.96

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Solution

The fourth proportional to 6,974.08, 9,610.04 and 6,481.96 is: 8,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.08 : 9,610.04 = 6,481.96 : x
  2. Step 2: Convert to fraction form
    6,974.08/9,610.04 = 6,481.96/x
  3. Step 3: Cross multiply
    6,974.08x = 9,610.04 × 6,481.96
  4. Step 4: Simplify right side
    6,974.08x = 62,291,894.88
  5. Step 5: Solve for x
    x = 62,291,894.88/6,974.08
  6. Step 6: Final answer
    x = 8,931.92

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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.