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Finding the Fourth Proportional to 9,230.95, 13,853.71 and 3,389.23

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Solution

The fourth proportional to 9,230.95, 13,853.71 and 3,389.23 is: 5,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.95 : 13,853.71 = 3,389.23 : x
  2. Step 2: Convert to fraction form
    9,230.95/13,853.71 = 3,389.23/x
  3. Step 3: Cross multiply
    9,230.95x = 13,853.71 × 3,389.23
  4. Step 4: Simplify right side
    9,230.95x = 46,953,409.54
  5. Step 5: Solve for x
    x = 46,953,409.54/9,230.95
  6. Step 6: Final answer
    x = 5,086.52

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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.