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Finding the Fourth Proportional to 9,255.83, 13,883.34 and 2,681.87

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Solution

The fourth proportional to 9,255.83, 13,883.34 and 2,681.87 is: 4,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.83 : 13,883.34 = 2,681.87 : x
  2. Step 2: Convert to fraction form
    9,255.83/13,883.34 = 2,681.87/x
  3. Step 3: Cross multiply
    9,255.83x = 13,883.34 × 2,681.87
  4. Step 4: Simplify right side
    9,255.83x = 37,233,313.05
  5. Step 5: Solve for x
    x = 37,233,313.05/9,255.83
  6. Step 6: Final answer
    x = 4,022.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.