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Finding the Fourth Proportional to 6,097.68, 8,402.40 and 4,209.84

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Solution

The fourth proportional to 6,097.68, 8,402.40 and 4,209.84 is: 5,801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.68 : 8,402.40 = 4,209.84 : x
  2. Step 2: Convert to fraction form
    6,097.68/8,402.40 = 4,209.84/x
  3. Step 3: Cross multiply
    6,097.68x = 8,402.40 × 4,209.84
  4. Step 4: Simplify right side
    6,097.68x = 35,372,759.62
  5. Step 5: Solve for x
    x = 35,372,759.62/6,097.68
  6. Step 6: Final answer
    x = 5,801.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.