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Finding the Fourth Proportional to 6,644.64, 9,167.76 and 5,243.04

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Solution

The fourth proportional to 6,644.64, 9,167.76 and 5,243.04 is: 7,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.64 : 9,167.76 = 5,243.04 : x
  2. Step 2: Convert to fraction form
    6,644.64/9,167.76 = 5,243.04/x
  3. Step 3: Cross multiply
    6,644.64x = 9,167.76 × 5,243.04
  4. Step 4: Simplify right side
    6,644.64x = 48,066,932.39
  5. Step 5: Solve for x
    x = 48,066,932.39/6,644.64
  6. Step 6: Final answer
    x = 7,233.94

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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.