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Finding the Fourth Proportional to 9,162.98, 13,723.08 and 6,691.67

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Solution

The fourth proportional to 9,162.98, 13,723.08 and 6,691.67 is: 10,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.98 : 13,723.08 = 6,691.67 : x
  2. Step 2: Convert to fraction form
    9,162.98/13,723.08 = 6,691.67/x
  3. Step 3: Cross multiply
    9,162.98x = 13,723.08 × 6,691.67
  4. Step 4: Simplify right side
    9,162.98x = 91,830,322.74
  5. Step 5: Solve for x
    x = 91,830,322.74/9,162.98
  6. Step 6: Final answer
    x = 10,021.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.