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Finding the Fourth Proportional to 6,862.78, 9,469.71 and 4,344.38

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Solution

The fourth proportional to 6,862.78, 9,469.71 and 4,344.38 is: 5,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.78 : 9,469.71 = 4,344.38 : x
  2. Step 2: Convert to fraction form
    6,862.78/9,469.71 = 4,344.38/x
  3. Step 3: Cross multiply
    6,862.78x = 9,469.71 × 4,344.38
  4. Step 4: Simplify right side
    6,862.78x = 41,140,060.16
  5. Step 5: Solve for x
    x = 41,140,060.16/6,862.78
  6. Step 6: Final answer
    x = 5,994.67

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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.