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Finding the Fourth Proportional to 9,542.83, 13,169.63 and 6,188.52

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Solution

The fourth proportional to 9,542.83, 13,169.63 and 6,188.52 is: 8,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.83 : 13,169.63 = 6,188.52 : x
  2. Step 2: Convert to fraction form
    9,542.83/13,169.63 = 6,188.52/x
  3. Step 3: Cross multiply
    9,542.83x = 13,169.63 × 6,188.52
  4. Step 4: Simplify right side
    9,542.83x = 81,500,487.71
  5. Step 5: Solve for x
    x = 81,500,487.71/9,542.83
  6. Step 6: Final answer
    x = 8,540.50

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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.