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Finding the Fourth Proportional to 8,509.38, 12,766.41 and 6,059.81

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Solution

The fourth proportional to 8,509.38, 12,766.41 and 6,059.81 is: 9,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.38 : 12,766.41 = 6,059.81 : x
  2. Step 2: Convert to fraction form
    8,509.38/12,766.41 = 6,059.81/x
  3. Step 3: Cross multiply
    8,509.38x = 12,766.41 × 6,059.81
  4. Step 4: Simplify right side
    8,509.38x = 77,361,955.15
  5. Step 5: Solve for x
    x = 77,361,955.15/8,509.38
  6. Step 6: Final answer
    x = 9,091.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.