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Finding the Fourth Proportional to 8,642.70, 12,961.62 and 2,401.20

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Solution

The fourth proportional to 8,642.70, 12,961.62 and 2,401.20 is: 3,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.70 : 12,961.62 = 2,401.20 : x
  2. Step 2: Convert to fraction form
    8,642.70/12,961.62 = 2,401.20/x
  3. Step 3: Cross multiply
    8,642.70x = 12,961.62 × 2,401.20
  4. Step 4: Simplify right side
    8,642.70x = 31,123,441.94
  5. Step 5: Solve for x
    x = 31,123,441.94/8,642.70
  6. Step 6: Final answer
    x = 3,601.12

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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.