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Finding the Fourth Proportional to 6,268.33, 9,402.50 and 2,569.74

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Solution

The fourth proportional to 6,268.33, 9,402.50 and 2,569.74 is: 3,854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.33 : 9,402.50 = 2,569.74 : x
  2. Step 2: Convert to fraction form
    6,268.33/9,402.50 = 2,569.74/x
  3. Step 3: Cross multiply
    6,268.33x = 9,402.50 × 2,569.74
  4. Step 4: Simplify right side
    6,268.33x = 24,161,980.35
  5. Step 5: Solve for x
    x = 24,161,980.35/6,268.33
  6. Step 6: Final answer
    x = 3,854.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.