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Finding the Fourth Proportional to 6,097.42, 8,414.48 and 3,302.92

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Solution

The fourth proportional to 6,097.42, 8,414.48 and 3,302.92 is: 4,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.42 : 8,414.48 = 3,302.92 : x
  2. Step 2: Convert to fraction form
    6,097.42/8,414.48 = 3,302.92/x
  3. Step 3: Cross multiply
    6,097.42x = 8,414.48 × 3,302.92
  4. Step 4: Simplify right side
    6,097.42x = 27,792,354.28
  5. Step 5: Solve for x
    x = 27,792,354.28/6,097.42
  6. Step 6: Final answer
    x = 4,558.05

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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.