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Finding the Fourth Proportional to 12,642.27, 17,446.26 and 6,977.40

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Solution

The fourth proportional to 12,642.27, 17,446.26 and 6,977.40 is: 9,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.27 : 17,446.26 = 6,977.40 : x
  2. Step 2: Convert to fraction form
    12,642.27/17,446.26 = 6,977.40/x
  3. Step 3: Cross multiply
    12,642.27x = 17,446.26 × 6,977.40
  4. Step 4: Simplify right side
    12,642.27x = 121,729,534.52
  5. Step 5: Solve for x
    x = 121,729,534.52/12,642.27
  6. Step 6: Final answer
    x = 9,628.77

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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.