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Finding the Fourth Proportional to 6,722.53, 9,277.54 and 3,738.89

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Solution

The fourth proportional to 6,722.53, 9,277.54 and 3,738.89 is: 5,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.53 : 9,277.54 = 3,738.89 : x
  2. Step 2: Convert to fraction form
    6,722.53/9,277.54 = 3,738.89/x
  3. Step 3: Cross multiply
    6,722.53x = 9,277.54 × 3,738.89
  4. Step 4: Simplify right side
    6,722.53x = 34,687,715.38
  5. Step 5: Solve for x
    x = 34,687,715.38/6,722.53
  6. Step 6: Final answer
    x = 5,159.92

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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.