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Finding the Fourth Proportional to 9,230.36, 13,847.04 and 2,991.93

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Solution

The fourth proportional to 9,230.36, 13,847.04 and 2,991.93 is: 4,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.36 : 13,847.04 = 2,991.93 : x
  2. Step 2: Convert to fraction form
    9,230.36/13,847.04 = 2,991.93/x
  3. Step 3: Cross multiply
    9,230.36x = 13,847.04 × 2,991.93
  4. Step 4: Simplify right side
    9,230.36x = 41,429,374.39
  5. Step 5: Solve for x
    x = 41,429,374.39/9,230.36
  6. Step 6: Final answer
    x = 4,488.38

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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.