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Finding the Fourth Proportional to 9,665.56, 13,325.78 and 6,974.52

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Solution

The fourth proportional to 9,665.56, 13,325.78 and 6,974.52 is: 9,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.56 : 13,325.78 = 6,974.52 : x
  2. Step 2: Convert to fraction form
    9,665.56/13,325.78 = 6,974.52/x
  3. Step 3: Cross multiply
    9,665.56x = 13,325.78 × 6,974.52
  4. Step 4: Simplify right side
    9,665.56x = 92,940,919.13
  5. Step 5: Solve for x
    x = 92,940,919.13/9,665.56
  6. Step 6: Final answer
    x = 9,615.68

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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.