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Finding the Fourth Proportional to 6,848.85, 9,452.25 and 3,865.77

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Solution

The fourth proportional to 6,848.85, 9,452.25 and 3,865.77 is: 5,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.85 : 9,452.25 = 3,865.77 : x
  2. Step 2: Convert to fraction form
    6,848.85/9,452.25 = 3,865.77/x
  3. Step 3: Cross multiply
    6,848.85x = 9,452.25 × 3,865.77
  4. Step 4: Simplify right side
    6,848.85x = 36,540,224.48
  5. Step 5: Solve for x
    x = 36,540,224.48/6,848.85
  6. Step 6: Final answer
    x = 5,335.24

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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.