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Finding the Fourth Proportional to 6,847.24, 9,449.20 and 3,703.42

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Solution

The fourth proportional to 6,847.24, 9,449.20 and 3,703.42 is: 5,110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.24 : 9,449.20 = 3,703.42 : x
  2. Step 2: Convert to fraction form
    6,847.24/9,449.20 = 3,703.42/x
  3. Step 3: Cross multiply
    6,847.24x = 9,449.20 × 3,703.42
  4. Step 4: Simplify right side
    6,847.24x = 34,994,356.26
  5. Step 5: Solve for x
    x = 34,994,356.26/6,847.24
  6. Step 6: Final answer
    x = 5,110.72

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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.