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Finding the Fourth Proportional to 6,223.70, 9,356.04 and 5,767.16

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Solution

The fourth proportional to 6,223.70, 9,356.04 and 5,767.16 is: 8,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.70 : 9,356.04 = 5,767.16 : x
  2. Step 2: Convert to fraction form
    6,223.70/9,356.04 = 5,767.16/x
  3. Step 3: Cross multiply
    6,223.70x = 9,356.04 × 5,767.16
  4. Step 4: Simplify right side
    6,223.70x = 53,957,732.87
  5. Step 5: Solve for x
    x = 53,957,732.87/6,223.70
  6. Step 6: Final answer
    x = 8,669.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.