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Finding the Fourth Proportional to 6,432.62, 9,649.50 and 2,536.10

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Solution

The fourth proportional to 6,432.62, 9,649.50 and 2,536.10 is: 3,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.62 : 9,649.50 = 2,536.10 : x
  2. Step 2: Convert to fraction form
    6,432.62/9,649.50 = 2,536.10/x
  3. Step 3: Cross multiply
    6,432.62x = 9,649.50 × 2,536.10
  4. Step 4: Simplify right side
    6,432.62x = 24,472,096.95
  5. Step 5: Solve for x
    x = 24,472,096.95/6,432.62
  6. Step 6: Final answer
    x = 3,804.37

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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.