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Finding the Fourth Proportional to 6,345.41, 9,520.74 and 2,648.43

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Solution

The fourth proportional to 6,345.41, 9,520.74 and 2,648.43 is: 3,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.41 : 9,520.74 = 2,648.43 : x
  2. Step 2: Convert to fraction form
    6,345.41/9,520.74 = 2,648.43/x
  3. Step 3: Cross multiply
    6,345.41x = 9,520.74 × 2,648.43
  4. Step 4: Simplify right side
    6,345.41x = 25,215,013.44
  5. Step 5: Solve for x
    x = 25,215,013.44/6,345.41
  6. Step 6: Final answer
    x = 3,973.74

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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.