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Finding the Fourth Proportional to 6,617.86, 9,132.90 and 3,785.68

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Solution

The fourth proportional to 6,617.86, 9,132.90 and 3,785.68 is: 5,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.86 : 9,132.90 = 3,785.68 : x
  2. Step 2: Convert to fraction form
    6,617.86/9,132.90 = 3,785.68/x
  3. Step 3: Cross multiply
    6,617.86x = 9,132.90 × 3,785.68
  4. Step 4: Simplify right side
    6,617.86x = 34,574,236.87
  5. Step 5: Solve for x
    x = 34,574,236.87/6,617.86
  6. Step 6: Final answer
    x = 5,224.38

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Why These Related Problems?

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