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Finding the Fourth Proportional to 9,795.66, 14,695.11 and 4,865.46

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Solution

The fourth proportional to 9,795.66, 14,695.11 and 4,865.46 is: 7,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.66 : 14,695.11 = 4,865.46 : x
  2. Step 2: Convert to fraction form
    9,795.66/14,695.11 = 4,865.46/x
  3. Step 3: Cross multiply
    9,795.66x = 14,695.11 × 4,865.46
  4. Step 4: Simplify right side
    9,795.66x = 71,498,469.90
  5. Step 5: Solve for x
    x = 71,498,469.90/9,795.66
  6. Step 6: Final answer
    x = 7,298.99

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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.