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Finding the Fourth Proportional to 9,727.88, 13,416.18 and 8,222.72

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Solution

The fourth proportional to 9,727.88, 13,416.18 and 8,222.72 is: 11,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.88 : 13,416.18 = 8,222.72 : x
  2. Step 2: Convert to fraction form
    9,727.88/13,416.18 = 8,222.72/x
  3. Step 3: Cross multiply
    9,727.88x = 13,416.18 × 8,222.72
  4. Step 4: Simplify right side
    9,727.88x = 110,317,491.61
  5. Step 5: Solve for x
    x = 110,317,491.61/9,727.88
  6. Step 6: Final answer
    x = 11,340.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.