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Finding the Fourth Proportional to 9,106.86, 13,660.11 and 3,267.30

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Solution

The fourth proportional to 9,106.86, 13,660.11 and 3,267.30 is: 4,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.86 : 13,660.11 = 3,267.30 : x
  2. Step 2: Convert to fraction form
    9,106.86/13,660.11 = 3,267.30/x
  3. Step 3: Cross multiply
    9,106.86x = 13,660.11 × 3,267.30
  4. Step 4: Simplify right side
    9,106.86x = 44,631,677.40
  5. Step 5: Solve for x
    x = 44,631,677.40/9,106.86
  6. Step 6: Final answer
    x = 4,900.89

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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.