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Finding the Fourth Proportional to 9,926.72, 13,689.72 and 6,744.78

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Solution

The fourth proportional to 9,926.72, 13,689.72 and 6,744.78 is: 9,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.72 : 13,689.72 = 6,744.78 : x
  2. Step 2: Convert to fraction form
    9,926.72/13,689.72 = 6,744.78/x
  3. Step 3: Cross multiply
    9,926.72x = 13,689.72 × 6,744.78
  4. Step 4: Simplify right side
    9,926.72x = 92,334,149.66
  5. Step 5: Solve for x
    x = 92,334,149.66/9,926.72
  6. Step 6: Final answer
    x = 9,301.58

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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.