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Finding the Fourth Proportional to 9,806.38, 14,709.57 and 2,880.88

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Solution

The fourth proportional to 9,806.38, 14,709.57 and 2,880.88 is: 4,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.38 : 14,709.57 = 2,880.88 : x
  2. Step 2: Convert to fraction form
    9,806.38/14,709.57 = 2,880.88/x
  3. Step 3: Cross multiply
    9,806.38x = 14,709.57 × 2,880.88
  4. Step 4: Simplify right side
    9,806.38x = 42,376,418.07
  5. Step 5: Solve for x
    x = 42,376,418.07/9,806.38
  6. Step 6: Final answer
    x = 4,321.31

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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.