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Finding the Fourth Proportional to 9,834.15, 14,751.03 and 2,438.64

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Solution

The fourth proportional to 9,834.15, 14,751.03 and 2,438.64 is: 3,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.15 : 14,751.03 = 2,438.64 : x
  2. Step 2: Convert to fraction form
    9,834.15/14,751.03 = 2,438.64/x
  3. Step 3: Cross multiply
    9,834.15x = 14,751.03 × 2,438.64
  4. Step 4: Simplify right side
    9,834.15x = 35,972,451.80
  5. Step 5: Solve for x
    x = 35,972,451.80/9,834.15
  6. Step 6: Final answer
    x = 3,657.91

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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.