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Finding the Fourth Proportional to 6,341.81, 9,509.82 and 2,641.83

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Solution

The fourth proportional to 6,341.81, 9,509.82 and 2,641.83 is: 3,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.81 : 9,509.82 = 2,641.83 : x
  2. Step 2: Convert to fraction form
    6,341.81/9,509.82 = 2,641.83/x
  3. Step 3: Cross multiply
    6,341.81x = 9,509.82 × 2,641.83
  4. Step 4: Simplify right side
    6,341.81x = 25,123,327.77
  5. Step 5: Solve for x
    x = 25,123,327.77/6,341.81
  6. Step 6: Final answer
    x = 3,961.54

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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.