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Finding the Fourth Proportional to 9,524.41, 13,140.63 and 6,169.79

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Solution

The fourth proportional to 9,524.41, 13,140.63 and 6,169.79 is: 8,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.41 : 13,140.63 = 6,169.79 : x
  2. Step 2: Convert to fraction form
    9,524.41/13,140.63 = 6,169.79/x
  3. Step 3: Cross multiply
    9,524.41x = 13,140.63 × 6,169.79
  4. Step 4: Simplify right side
    9,524.41x = 81,074,927.57
  5. Step 5: Solve for x
    x = 81,074,927.57/9,524.41
  6. Step 6: Final answer
    x = 8,512.33

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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.