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Finding the Fourth Proportional to 6,889.61, 9,507.62 and 3,745.80

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Solution

The fourth proportional to 6,889.61, 9,507.62 and 3,745.80 is: 5,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.61 : 9,507.62 = 3,745.80 : x
  2. Step 2: Convert to fraction form
    6,889.61/9,507.62 = 3,745.80/x
  3. Step 3: Cross multiply
    6,889.61x = 9,507.62 × 3,745.80
  4. Step 4: Simplify right side
    6,889.61x = 35,613,600.50
  5. Step 5: Solve for x
    x = 35,613,600.50/6,889.61
  6. Step 6: Final answer
    x = 5,169.18

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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.