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Finding the Fourth Proportional to 9,197.88, 13,798.08 and 2,956.41

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Solution

The fourth proportional to 9,197.88, 13,798.08 and 2,956.41 is: 4,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.88 : 13,798.08 = 2,956.41 : x
  2. Step 2: Convert to fraction form
    9,197.88/13,798.08 = 2,956.41/x
  3. Step 3: Cross multiply
    9,197.88x = 13,798.08 × 2,956.41
  4. Step 4: Simplify right side
    9,197.88x = 40,792,781.69
  5. Step 5: Solve for x
    x = 40,792,781.69/9,197.88
  6. Step 6: Final answer
    x = 4,435.02

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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.