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Finding the Fourth Proportional to 6,097.32, 8,414.82 and 4,419.24

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Solution

The fourth proportional to 6,097.32, 8,414.82 and 4,419.24 is: 6,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.32 : 8,414.82 = 4,419.24 : x
  2. Step 2: Convert to fraction form
    6,097.32/8,414.82 = 4,419.24/x
  3. Step 3: Cross multiply
    6,097.32x = 8,414.82 × 4,419.24
  4. Step 4: Simplify right side
    6,097.32x = 37,187,109.14
  5. Step 5: Solve for x
    x = 37,187,109.14/6,097.32
  6. Step 6: Final answer
    x = 6,098.93

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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.