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Finding the Fourth Proportional to 8,535.92, 12,790.92 and 6,334.34

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Solution

The fourth proportional to 8,535.92, 12,790.92 and 6,334.34 is: 9,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.92 : 12,790.92 = 6,334.34 : x
  2. Step 2: Convert to fraction form
    8,535.92/12,790.92 = 6,334.34/x
  3. Step 3: Cross multiply
    8,535.92x = 12,790.92 × 6,334.34
  4. Step 4: Simplify right side
    8,535.92x = 81,022,036.19
  5. Step 5: Solve for x
    x = 81,022,036.19/8,535.92
  6. Step 6: Final answer
    x = 9,491.89

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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.