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Finding the Fourth Proportional to 9,105.86, 13,660.23 and 3,262.34

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Solution

The fourth proportional to 9,105.86, 13,660.23 and 3,262.34 is: 4,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.86 : 13,660.23 = 3,262.34 : x
  2. Step 2: Convert to fraction form
    9,105.86/13,660.23 = 3,262.34/x
  3. Step 3: Cross multiply
    9,105.86x = 13,660.23 × 3,262.34
  4. Step 4: Simplify right side
    9,105.86x = 44,564,314.74
  5. Step 5: Solve for x
    x = 44,564,314.74/9,105.86
  6. Step 6: Final answer
    x = 4,894.03

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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.