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Finding the Fourth Proportional to 12,464.87, 17,189.97 and 9,285.96

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Solution

The fourth proportional to 12,464.87, 17,189.97 and 9,285.96 is: 12,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.87 : 17,189.97 = 9,285.96 : x
  2. Step 2: Convert to fraction form
    12,464.87/17,189.97 = 9,285.96/x
  3. Step 3: Cross multiply
    12,464.87x = 17,189.97 × 9,285.96
  4. Step 4: Simplify right side
    12,464.87x = 159,625,373.82
  5. Step 5: Solve for x
    x = 159,625,373.82/12,464.87
  6. Step 6: Final answer
    x = 12,806.02

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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.