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Finding the Fourth Proportional to 9,535.86, 14,296.86 and 3,990.83

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Solution

The fourth proportional to 9,535.86, 14,296.86 and 3,990.83 is: 5,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.86 : 14,296.86 = 3,990.83 : x
  2. Step 2: Convert to fraction form
    9,535.86/14,296.86 = 3,990.83/x
  3. Step 3: Cross multiply
    9,535.86x = 14,296.86 × 3,990.83
  4. Step 4: Simplify right side
    9,535.86x = 57,056,266.31
  5. Step 5: Solve for x
    x = 57,056,266.31/9,535.86
  6. Step 6: Final answer
    x = 5,983.34

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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.