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Finding the Fourth Proportional to 9,795.62, 14,695.92 and 3,221.87

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Solution

The fourth proportional to 9,795.62, 14,695.92 and 3,221.87 is: 4,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.62 : 14,695.92 = 3,221.87 : x
  2. Step 2: Convert to fraction form
    9,795.62/14,695.92 = 3,221.87/x
  3. Step 3: Cross multiply
    9,795.62x = 14,695.92 × 3,221.87
  4. Step 4: Simplify right side
    9,795.62x = 47,348,270.29
  5. Step 5: Solve for x
    x = 47,348,270.29/9,795.62
  6. Step 6: Final answer
    x = 4,833.62

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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.