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Finding the Fourth Proportional to 9,225.68, 13,838.52 and 4,227.44

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Solution

The fourth proportional to 9,225.68, 13,838.52 and 4,227.44 is: 6,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.68 : 13,838.52 = 4,227.44 : x
  2. Step 2: Convert to fraction form
    9,225.68/13,838.52 = 4,227.44/x
  3. Step 3: Cross multiply
    9,225.68x = 13,838.52 × 4,227.44
  4. Step 4: Simplify right side
    9,225.68x = 58,501,512.99
  5. Step 5: Solve for x
    x = 58,501,512.99/9,225.68
  6. Step 6: Final answer
    x = 6,341.16

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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.