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Finding the Fourth Proportional to 6,948.78, 9,589.30 and 3,804.94

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Solution

The fourth proportional to 6,948.78, 9,589.30 and 3,804.94 is: 5,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.78 : 9,589.30 = 3,804.94 : x
  2. Step 2: Convert to fraction form
    6,948.78/9,589.30 = 3,804.94/x
  3. Step 3: Cross multiply
    6,948.78x = 9,589.30 × 3,804.94
  4. Step 4: Simplify right side
    6,948.78x = 36,486,711.14
  5. Step 5: Solve for x
    x = 36,486,711.14/6,948.78
  6. Step 6: Final answer
    x = 5,250.81

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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.