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Finding the Fourth Proportional to 9,610.38, 14,414.36 and 7,977.42

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Solution

The fourth proportional to 9,610.38, 14,414.36 and 7,977.42 is: 11,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.38 : 14,414.36 = 7,977.42 : x
  2. Step 2: Convert to fraction form
    9,610.38/14,414.36 = 7,977.42/x
  3. Step 3: Cross multiply
    9,610.38x = 14,414.36 × 7,977.42
  4. Step 4: Simplify right side
    9,610.38x = 114,989,363.86
  5. Step 5: Solve for x
    x = 114,989,363.86/9,610.38
  6. Step 6: Final answer
    x = 11,965.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.