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Finding the Fourth Proportional to 6,338.08, 9,503.76 and 2,641.04

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Solution

The fourth proportional to 6,338.08, 9,503.76 and 2,641.04 is: 3,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.08 : 9,503.76 = 2,641.04 : x
  2. Step 2: Convert to fraction form
    6,338.08/9,503.76 = 2,641.04/x
  3. Step 3: Cross multiply
    6,338.08x = 9,503.76 × 2,641.04
  4. Step 4: Simplify right side
    6,338.08x = 25,099,810.31
  5. Step 5: Solve for x
    x = 25,099,810.31/6,338.08
  6. Step 6: Final answer
    x = 3,960.16

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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.