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Finding the Fourth Proportional to 10,225.92, 14,103.54 and 6,867.72

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Solution

The fourth proportional to 10,225.92, 14,103.54 and 6,867.72 is: 9,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.92 : 14,103.54 = 6,867.72 : x
  2. Step 2: Convert to fraction form
    10,225.92/14,103.54 = 6,867.72/x
  3. Step 3: Cross multiply
    10,225.92x = 14,103.54 × 6,867.72
  4. Step 4: Simplify right side
    10,225.92x = 96,859,163.73
  5. Step 5: Solve for x
    x = 96,859,163.73/10,225.92
  6. Step 6: Final answer
    x = 9,471.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.