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Finding the Fourth Proportional to 6,374.77, 9,565.42 and 2,629.31

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Solution

The fourth proportional to 6,374.77, 9,565.42 and 2,629.31 is: 3,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.77 : 9,565.42 = 2,629.31 : x
  2. Step 2: Convert to fraction form
    6,374.77/9,565.42 = 2,629.31/x
  3. Step 3: Cross multiply
    6,374.77x = 9,565.42 × 2,629.31
  4. Step 4: Simplify right side
    6,374.77x = 25,150,454.46
  5. Step 5: Solve for x
    x = 25,150,454.46/6,374.77
  6. Step 6: Final answer
    x = 3,945.31

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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.