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Finding the Fourth Proportional to 6,649.24, 9,161.76 and 6,041.74

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Solution

The fourth proportional to 6,649.24, 9,161.76 and 6,041.74 is: 8,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.24 : 9,161.76 = 6,041.74 : x
  2. Step 2: Convert to fraction form
    6,649.24/9,161.76 = 6,041.74/x
  3. Step 3: Cross multiply
    6,649.24x = 9,161.76 × 6,041.74
  4. Step 4: Simplify right side
    6,649.24x = 55,352,971.86
  5. Step 5: Solve for x
    x = 55,352,971.86/6,649.24
  6. Step 6: Final answer
    x = 8,324.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.