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Finding the Fourth Proportional to 9,409.91, 14,109.82 and 3,167.84

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Solution

The fourth proportional to 9,409.91, 14,109.82 and 3,167.84 is: 4,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.91 : 14,109.82 = 3,167.84 : x
  2. Step 2: Convert to fraction form
    9,409.91/14,109.82 = 3,167.84/x
  3. Step 3: Cross multiply
    9,409.91x = 14,109.82 × 3,167.84
  4. Step 4: Simplify right side
    9,409.91x = 44,697,679.54
  5. Step 5: Solve for x
    x = 44,697,679.54/9,409.91
  6. Step 6: Final answer
    x = 4,750.07

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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.