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Finding the Fourth Proportional to 6,424.47, 9,636.56 and 2,961.72

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Solution

The fourth proportional to 6,424.47, 9,636.56 and 2,961.72 is: 4,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.47 : 9,636.56 = 2,961.72 : x
  2. Step 2: Convert to fraction form
    6,424.47/9,636.56 = 2,961.72/x
  3. Step 3: Cross multiply
    6,424.47x = 9,636.56 × 2,961.72
  4. Step 4: Simplify right side
    6,424.47x = 28,540,777.67
  5. Step 5: Solve for x
    x = 28,540,777.67/6,424.47
  6. Step 6: Final answer
    x = 4,442.51

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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.