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Finding the Fourth Proportional to 6,341.74, 9,505.78 and 2,642.98

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Solution

The fourth proportional to 6,341.74, 9,505.78 and 2,642.98 is: 3,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.74 : 9,505.78 = 2,642.98 : x
  2. Step 2: Convert to fraction form
    6,341.74/9,505.78 = 2,642.98/x
  3. Step 3: Cross multiply
    6,341.74x = 9,505.78 × 2,642.98
  4. Step 4: Simplify right side
    6,341.74x = 25,123,586.42
  5. Step 5: Solve for x
    x = 25,123,586.42/6,341.74
  6. Step 6: Final answer
    x = 3,961.62

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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.