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Finding the Fourth Proportional to 6,097.14, 8,414.01 and 3,445.07

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Solution

The fourth proportional to 6,097.14, 8,414.01 and 3,445.07 is: 4,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.14 : 8,414.01 = 3,445.07 : x
  2. Step 2: Convert to fraction form
    6,097.14/8,414.01 = 3,445.07/x
  3. Step 3: Cross multiply
    6,097.14x = 8,414.01 × 3,445.07
  4. Step 4: Simplify right side
    6,097.14x = 28,986,811.36
  5. Step 5: Solve for x
    x = 28,986,811.36/6,097.14
  6. Step 6: Final answer
    x = 4,754.17

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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.