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Finding the Fourth Proportional to 9,796.89, 14,695.88 and 3,133.97

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Solution

The fourth proportional to 9,796.89, 14,695.88 and 3,133.97 is: 4,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.89 : 14,695.88 = 3,133.97 : x
  2. Step 2: Convert to fraction form
    9,796.89/14,695.88 = 3,133.97/x
  3. Step 3: Cross multiply
    9,796.89x = 14,695.88 × 3,133.97
  4. Step 4: Simplify right side
    9,796.89x = 46,056,491.62
  5. Step 5: Solve for x
    x = 46,056,491.62/9,796.89
  6. Step 6: Final answer
    x = 4,701.13

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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.