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Finding the Fourth Proportional to 12,643.48, 17,446.78 and 6,977.89

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Solution

The fourth proportional to 12,643.48, 17,446.78 and 6,977.89 is: 9,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.48 : 17,446.78 = 6,977.89 : x
  2. Step 2: Convert to fraction form
    12,643.48/17,446.78 = 6,977.89/x
  3. Step 3: Cross multiply
    12,643.48x = 17,446.78 × 6,977.89
  4. Step 4: Simplify right side
    12,643.48x = 121,741,711.69
  5. Step 5: Solve for x
    x = 121,741,711.69/12,643.48
  6. Step 6: Final answer
    x = 9,628.81

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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.