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Finding the Fourth Proportional to 9,794.30, 14,691.92 and 3,220.34

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Solution

The fourth proportional to 9,794.30, 14,691.92 and 3,220.34 is: 4,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.30 : 14,691.92 = 3,220.34 : x
  2. Step 2: Convert to fraction form
    9,794.30/14,691.92 = 3,220.34/x
  3. Step 3: Cross multiply
    9,794.30x = 14,691.92 × 3,220.34
  4. Step 4: Simplify right side
    9,794.30x = 47,312,977.65
  5. Step 5: Solve for x
    x = 47,312,977.65/9,794.30
  6. Step 6: Final answer
    x = 4,830.66

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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.