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Finding the Fourth Proportional to 9,227.94, 13,834.50 and 4,030.20

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Solution

The fourth proportional to 9,227.94, 13,834.50 and 4,030.20 is: 6,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.94 : 13,834.50 = 4,030.20 : x
  2. Step 2: Convert to fraction form
    9,227.94/13,834.50 = 4,030.20/x
  3. Step 3: Cross multiply
    9,227.94x = 13,834.50 × 4,030.20
  4. Step 4: Simplify right side
    9,227.94x = 55,755,801.90
  5. Step 5: Solve for x
    x = 55,755,801.90/9,227.94
  6. Step 6: Final answer
    x = 6,042.06

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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.