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Finding the Fourth Proportional to 6,268.74, 8,662.14 and 4,497.24

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Solution

The fourth proportional to 6,268.74, 8,662.14 and 4,497.24 is: 6,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.74 : 8,662.14 = 4,497.24 : x
  2. Step 2: Convert to fraction form
    6,268.74/8,662.14 = 4,497.24/x
  3. Step 3: Cross multiply
    6,268.74x = 8,662.14 × 4,497.24
  4. Step 4: Simplify right side
    6,268.74x = 38,955,722.49
  5. Step 5: Solve for x
    x = 38,955,722.49/6,268.74
  6. Step 6: Final answer
    x = 6,214.28

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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.