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Finding the Fourth Proportional to 6,834.54, 9,437.44 and 4,182.78

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Solution

The fourth proportional to 6,834.54, 9,437.44 and 4,182.78 is: 5,775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.54 : 9,437.44 = 4,182.78 : x
  2. Step 2: Convert to fraction form
    6,834.54/9,437.44 = 4,182.78/x
  3. Step 3: Cross multiply
    6,834.54x = 9,437.44 × 4,182.78
  4. Step 4: Simplify right side
    6,834.54x = 39,474,735.28
  5. Step 5: Solve for x
    x = 39,474,735.28/6,834.54
  6. Step 6: Final answer
    x = 5,775.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.