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Finding the Fourth Proportional to 9,098.73, 13,643.54 and 2,858.66

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Solution

The fourth proportional to 9,098.73, 13,643.54 and 2,858.66 is: 4,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.73 : 13,643.54 = 2,858.66 : x
  2. Step 2: Convert to fraction form
    9,098.73/13,643.54 = 2,858.66/x
  3. Step 3: Cross multiply
    9,098.73x = 13,643.54 × 2,858.66
  4. Step 4: Simplify right side
    9,098.73x = 39,002,283.31
  5. Step 5: Solve for x
    x = 39,002,283.31/9,098.73
  6. Step 6: Final answer
    x = 4,286.56

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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.