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Finding the Fourth Proportional to 9,723.56, 13,422.86 and 7,565.22

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Solution

The fourth proportional to 9,723.56, 13,422.86 and 7,565.22 is: 10,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.56 : 13,422.86 = 7,565.22 : x
  2. Step 2: Convert to fraction form
    9,723.56/13,422.86 = 7,565.22/x
  3. Step 3: Cross multiply
    9,723.56x = 13,422.86 × 7,565.22
  4. Step 4: Simplify right side
    9,723.56x = 101,546,888.93
  5. Step 5: Solve for x
    x = 101,546,888.93/9,723.56
  6. Step 6: Final answer
    x = 10,443.39

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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.