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Finding the Fourth Proportional to 9,260.20, 12,742.66 and 8,377

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Solution

The fourth proportional to 9,260.20, 12,742.66 and 8,377 is: 11,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.20 : 12,742.66 = 8,377 : x
  2. Step 2: Convert to fraction form
    9,260.20/12,742.66 = 8,377/x
  3. Step 3: Cross multiply
    9,260.20x = 12,742.66 × 8,377
  4. Step 4: Simplify right side
    9,260.20x = 106,745,262.82
  5. Step 5: Solve for x
    x = 106,745,262.82/9,260.20
  6. Step 6: Final answer
    x = 11,527.32

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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.