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Finding the Fourth Proportional to 6,993.32, 9,650.75 and 3,849.53

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Solution

The fourth proportional to 6,993.32, 9,650.75 and 3,849.53 is: 5,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.32 : 9,650.75 = 3,849.53 : x
  2. Step 2: Convert to fraction form
    6,993.32/9,650.75 = 3,849.53/x
  3. Step 3: Cross multiply
    6,993.32x = 9,650.75 × 3,849.53
  4. Step 4: Simplify right side
    6,993.32x = 37,150,784.15
  5. Step 5: Solve for x
    x = 37,150,784.15/6,993.32
  6. Step 6: Final answer
    x = 5,312.33

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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.