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Finding the Fourth Proportional to 9,409.68, 14,111.90 and 2,834.91

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Solution

The fourth proportional to 9,409.68, 14,111.90 and 2,834.91 is: 4,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.68 : 14,111.90 = 2,834.91 : x
  2. Step 2: Convert to fraction form
    9,409.68/14,111.90 = 2,834.91/x
  3. Step 3: Cross multiply
    9,409.68x = 14,111.90 × 2,834.91
  4. Step 4: Simplify right side
    9,409.68x = 40,005,952.25
  5. Step 5: Solve for x
    x = 40,005,952.25/9,409.68
  6. Step 6: Final answer
    x = 4,251.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.