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Finding the Fourth Proportional to 9,225.27, 13,835.19 and 4,224.81

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Solution

The fourth proportional to 9,225.27, 13,835.19 and 4,224.81 is: 6,335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.27 : 13,835.19 = 4,224.81 : x
  2. Step 2: Convert to fraction form
    9,225.27/13,835.19 = 4,224.81/x
  3. Step 3: Cross multiply
    9,225.27x = 13,835.19 × 4,224.81
  4. Step 4: Simplify right side
    9,225.27x = 58,451,064.91
  5. Step 5: Solve for x
    x = 58,451,064.91/9,225.27
  6. Step 6: Final answer
    x = 6,335.98

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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.