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Finding the Fourth Proportional to 6,275.35, 9,411.44 and 2,578.60

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Solution

The fourth proportional to 6,275.35, 9,411.44 and 2,578.60 is: 3,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.35 : 9,411.44 = 2,578.60 : x
  2. Step 2: Convert to fraction form
    6,275.35/9,411.44 = 2,578.60/x
  3. Step 3: Cross multiply
    6,275.35x = 9,411.44 × 2,578.60
  4. Step 4: Simplify right side
    6,275.35x = 24,268,285.68
  5. Step 5: Solve for x
    x = 24,268,285.68/6,275.35
  6. Step 6: Final answer
    x = 3,867.24

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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.