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Finding the Fourth Proportional to 9,524.86, 13,169.40 and 8,342.54

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Solution

The fourth proportional to 9,524.86, 13,169.40 and 8,342.54 is: 11,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.86 : 13,169.40 = 8,342.54 : x
  2. Step 2: Convert to fraction form
    9,524.86/13,169.40 = 8,342.54/x
  3. Step 3: Cross multiply
    9,524.86x = 13,169.40 × 8,342.54
  4. Step 4: Simplify right side
    9,524.86x = 109,866,246.28
  5. Step 5: Solve for x
    x = 109,866,246.28/9,524.86
  6. Step 6: Final answer
    x = 11,534.68

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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.