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Finding the Fourth Proportional to 6,849.98, 9,453.04 and 3,865.52

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Solution

The fourth proportional to 6,849.98, 9,453.04 and 3,865.52 is: 5,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.98 : 9,453.04 = 3,865.52 : x
  2. Step 2: Convert to fraction form
    6,849.98/9,453.04 = 3,865.52/x
  3. Step 3: Cross multiply
    6,849.98x = 9,453.04 × 3,865.52
  4. Step 4: Simplify right side
    6,849.98x = 36,540,915.18
  5. Step 5: Solve for x
    x = 36,540,915.18/6,849.98
  6. Step 6: Final answer
    x = 5,334.46

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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.