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Finding the Fourth Proportional to 6,565.85, 9,062.05 and 3,913.43

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Solution

The fourth proportional to 6,565.85, 9,062.05 and 3,913.43 is: 5,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.85 : 9,062.05 = 3,913.43 : x
  2. Step 2: Convert to fraction form
    6,565.85/9,062.05 = 3,913.43/x
  3. Step 3: Cross multiply
    6,565.85x = 9,062.05 × 3,913.43
  4. Step 4: Simplify right side
    6,565.85x = 35,463,711.20
  5. Step 5: Solve for x
    x = 35,463,711.20/6,565.85
  6. Step 6: Final answer
    x = 5,401.23

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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.