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Finding the Fourth Proportional to 9,238.62, 13,864.95 and 3,617.22

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Solution

The fourth proportional to 9,238.62, 13,864.95 and 3,617.22 is: 5,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.62 : 13,864.95 = 3,617.22 : x
  2. Step 2: Convert to fraction form
    9,238.62/13,864.95 = 3,617.22/x
  3. Step 3: Cross multiply
    9,238.62x = 13,864.95 × 3,617.22
  4. Step 4: Simplify right side
    9,238.62x = 50,152,574.44
  5. Step 5: Solve for x
    x = 50,152,574.44/9,238.62
  6. Step 6: Final answer
    x = 5,428.58

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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.