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Finding the Fourth Proportional to 9,225.92, 13,838.49 and 4,293.86

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Solution

The fourth proportional to 9,225.92, 13,838.49 and 4,293.86 is: 6,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.92 : 13,838.49 = 4,293.86 : x
  2. Step 2: Convert to fraction form
    9,225.92/13,838.49 = 4,293.86/x
  3. Step 3: Cross multiply
    9,225.92x = 13,838.49 × 4,293.86
  4. Step 4: Simplify right side
    9,225.92x = 59,420,538.67
  5. Step 5: Solve for x
    x = 59,420,538.67/9,225.92
  6. Step 6: Final answer
    x = 6,440.61

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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.