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Finding the Fourth Proportional to 9,169.65, 13,752.95 and 2,594.21

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Solution

The fourth proportional to 9,169.65, 13,752.95 and 2,594.21 is: 3,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.65 : 13,752.95 = 2,594.21 : x
  2. Step 2: Convert to fraction form
    9,169.65/13,752.95 = 2,594.21/x
  3. Step 3: Cross multiply
    9,169.65x = 13,752.95 × 2,594.21
  4. Step 4: Simplify right side
    9,169.65x = 35,677,958.68
  5. Step 5: Solve for x
    x = 35,677,958.68/9,169.65
  6. Step 6: Final answer
    x = 3,890.87

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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.