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Finding the Fourth Proportional to 9,215.77, 12,717.78 and 5,238.20

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Solution

The fourth proportional to 9,215.77, 12,717.78 and 5,238.20 is: 7,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.77 : 12,717.78 = 5,238.20 : x
  2. Step 2: Convert to fraction form
    9,215.77/12,717.78 = 5,238.20/x
  3. Step 3: Cross multiply
    9,215.77x = 12,717.78 × 5,238.20
  4. Step 4: Simplify right side
    9,215.77x = 66,618,275.20
  5. Step 5: Solve for x
    x = 66,618,275.20/9,215.77
  6. Step 6: Final answer
    x = 7,228.73

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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.