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Finding the Fourth Proportional to 9,796.28, 14,691.30 and 3,220.92

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Solution

The fourth proportional to 9,796.28, 14,691.30 and 3,220.92 is: 4,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.28 : 14,691.30 = 3,220.92 : x
  2. Step 2: Convert to fraction form
    9,796.28/14,691.30 = 3,220.92/x
  3. Step 3: Cross multiply
    9,796.28x = 14,691.30 × 3,220.92
  4. Step 4: Simplify right side
    9,796.28x = 47,319,502.00
  5. Step 5: Solve for x
    x = 47,319,502.00/9,796.28
  6. Step 6: Final answer
    x = 4,830.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.