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Finding the Fourth Proportional to 9,838.56, 14,757.84 and 2,911.44

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Solution

The fourth proportional to 9,838.56, 14,757.84 and 2,911.44 is: 4,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.56 : 14,757.84 = 2,911.44 : x
  2. Step 2: Convert to fraction form
    9,838.56/14,757.84 = 2,911.44/x
  3. Step 3: Cross multiply
    9,838.56x = 14,757.84 × 2,911.44
  4. Step 4: Simplify right side
    9,838.56x = 42,966,565.69
  5. Step 5: Solve for x
    x = 42,966,565.69/9,838.56
  6. Step 6: Final answer
    x = 4,367.16

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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.