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Finding the Fourth Proportional to 9,499.65, 13,110.02 and 5,723.97

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Solution

The fourth proportional to 9,499.65, 13,110.02 and 5,723.97 is: 7,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.65 : 13,110.02 = 5,723.97 : x
  2. Step 2: Convert to fraction form
    9,499.65/13,110.02 = 5,723.97/x
  3. Step 3: Cross multiply
    9,499.65x = 13,110.02 × 5,723.97
  4. Step 4: Simplify right side
    9,499.65x = 75,041,304.86
  5. Step 5: Solve for x
    x = 75,041,304.86/9,499.65
  6. Step 6: Final answer
    x = 7,899.38

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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.