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Finding the Fourth Proportional to 6,268.69, 9,404.34 and 2,570.83

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Solution

The fourth proportional to 6,268.69, 9,404.34 and 2,570.83 is: 3,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.69 : 9,404.34 = 2,570.83 : x
  2. Step 2: Convert to fraction form
    6,268.69/9,404.34 = 2,570.83/x
  3. Step 3: Cross multiply
    6,268.69x = 9,404.34 × 2,570.83
  4. Step 4: Simplify right side
    6,268.69x = 24,176,959.40
  5. Step 5: Solve for x
    x = 24,176,959.40/6,268.69
  6. Step 6: Final answer
    x = 3,856.78

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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.