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Finding the Fourth Proportional to 6,846.98, 9,450.35 and 4,452.78

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Solution

The fourth proportional to 6,846.98, 9,450.35 and 4,452.78 is: 6,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.98 : 9,450.35 = 4,452.78 : x
  2. Step 2: Convert to fraction form
    6,846.98/9,450.35 = 4,452.78/x
  3. Step 3: Cross multiply
    6,846.98x = 9,450.35 × 4,452.78
  4. Step 4: Simplify right side
    6,846.98x = 42,080,329.47
  5. Step 5: Solve for x
    x = 42,080,329.47/6,846.98
  6. Step 6: Final answer
    x = 6,145.82

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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.