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Finding the Fourth Proportional to 6,751.43, 9,315.47 and 3,917.16

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Solution

The fourth proportional to 6,751.43, 9,315.47 and 3,917.16 is: 5,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.43 : 9,315.47 = 3,917.16 : x
  2. Step 2: Convert to fraction form
    6,751.43/9,315.47 = 3,917.16/x
  3. Step 3: Cross multiply
    6,751.43x = 9,315.47 × 3,917.16
  4. Step 4: Simplify right side
    6,751.43x = 36,490,168.07
  5. Step 5: Solve for x
    x = 36,490,168.07/6,751.43
  6. Step 6: Final answer
    x = 5,404.81

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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.