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Finding the Fourth Proportional to 9,230.94, 13,853.70 and 3,389.22

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Solution

The fourth proportional to 9,230.94, 13,853.70 and 3,389.22 is: 5,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.94 : 13,853.70 = 3,389.22 : x
  2. Step 2: Convert to fraction form
    9,230.94/13,853.70 = 3,389.22/x
  3. Step 3: Cross multiply
    9,230.94x = 13,853.70 × 3,389.22
  4. Step 4: Simplify right side
    9,230.94x = 46,953,237.11
  5. Step 5: Solve for x
    x = 46,953,237.11/9,230.94
  6. Step 6: Final answer
    x = 5,086.51

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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.