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Finding the Fourth Proportional to 6,847.06, 9,448.96 and 3,703.28

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Solution

The fourth proportional to 6,847.06, 9,448.96 and 3,703.28 is: 5,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.06 : 9,448.96 = 3,703.28 : x
  2. Step 2: Convert to fraction form
    6,847.06/9,448.96 = 3,703.28/x
  3. Step 3: Cross multiply
    6,847.06x = 9,448.96 × 3,703.28
  4. Step 4: Simplify right side
    6,847.06x = 34,992,144.59
  5. Step 5: Solve for x
    x = 34,992,144.59/6,847.06
  6. Step 6: Final answer
    x = 5,110.54

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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.