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Finding the Fourth Proportional to 9,723.88, 13,410.66 and 8,218.72

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Solution

The fourth proportional to 9,723.88, 13,410.66 and 8,218.72 is: 11,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.88 : 13,410.66 = 8,218.72 : x
  2. Step 2: Convert to fraction form
    9,723.88/13,410.66 = 8,218.72/x
  3. Step 3: Cross multiply
    9,723.88x = 13,410.66 × 8,218.72
  4. Step 4: Simplify right side
    9,723.88x = 110,218,459.56
  5. Step 5: Solve for x
    x = 110,218,459.56/9,723.88
  6. Step 6: Final answer
    x = 11,334.82

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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.