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Finding the Fourth Proportional to 6,434.48, 9,649.24 and 2,738.46

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Solution

The fourth proportional to 6,434.48, 9,649.24 and 2,738.46 is: 4,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.48 : 9,649.24 = 2,738.46 : x
  2. Step 2: Convert to fraction form
    6,434.48/9,649.24 = 2,738.46/x
  3. Step 3: Cross multiply
    6,434.48x = 9,649.24 × 2,738.46
  4. Step 4: Simplify right side
    6,434.48x = 26,424,057.77
  5. Step 5: Solve for x
    x = 26,424,057.77/6,434.48
  6. Step 6: Final answer
    x = 4,106.63

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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.