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Finding the Fourth Proportional to 9,727.76, 13,428.78 and 6,370.72

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Solution

The fourth proportional to 9,727.76, 13,428.78 and 6,370.72 is: 8,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.76 : 13,428.78 = 6,370.72 : x
  2. Step 2: Convert to fraction form
    9,727.76/13,428.78 = 6,370.72/x
  3. Step 3: Cross multiply
    9,727.76x = 13,428.78 × 6,370.72
  4. Step 4: Simplify right side
    9,727.76x = 85,550,930.18
  5. Step 5: Solve for x
    x = 85,550,930.18/9,727.76
  6. Step 6: Final answer
    x = 8,794.51

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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.