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Finding the Fourth Proportional to 9,834.42, 14,751.63 and 2,908.92

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Solution

The fourth proportional to 9,834.42, 14,751.63 and 2,908.92 is: 4,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.42 : 14,751.63 = 2,908.92 : x
  2. Step 2: Convert to fraction form
    9,834.42/14,751.63 = 2,908.92/x
  3. Step 3: Cross multiply
    9,834.42x = 14,751.63 × 2,908.92
  4. Step 4: Simplify right side
    9,834.42x = 42,911,311.54
  5. Step 5: Solve for x
    x = 42,911,311.54/9,834.42
  6. Step 6: Final answer
    x = 4,363.38

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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.