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Finding the Fourth Proportional to 9,565.34, 13,173.75 and 8,238.56

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Solution

The fourth proportional to 9,565.34, 13,173.75 and 8,238.56 is: 11,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.34 : 13,173.75 = 8,238.56 : x
  2. Step 2: Convert to fraction form
    9,565.34/13,173.75 = 8,238.56/x
  3. Step 3: Cross multiply
    9,565.34x = 13,173.75 × 8,238.56
  4. Step 4: Simplify right side
    9,565.34x = 108,532,663.93
  5. Step 5: Solve for x
    x = 108,532,663.93/9,565.34
  6. Step 6: Final answer
    x = 11,346.46

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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.