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Finding the Fourth Proportional to 6,543.84, 9,799.92 and 3,941.04

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Solution

The fourth proportional to 6,543.84, 9,799.92 and 3,941.04 is: 5,902.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.84 : 9,799.92 = 3,941.04 : x
  2. Step 2: Convert to fraction form
    6,543.84/9,799.92 = 3,941.04/x
  3. Step 3: Cross multiply
    6,543.84x = 9,799.92 × 3,941.04
  4. Step 4: Simplify right side
    6,543.84x = 38,621,876.72
  5. Step 5: Solve for x
    x = 38,621,876.72/6,543.84
  6. Step 6: Final answer
    x = 5,902.02

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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.