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Finding the Fourth Proportional to 9,654, 14,481.16 and 3,810.56

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Solution

The fourth proportional to 9,654, 14,481.16 and 3,810.56 is: 5,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654 : 14,481.16 = 3,810.56 : x
  2. Step 2: Convert to fraction form
    9,654/14,481.16 = 3,810.56/x
  3. Step 3: Cross multiply
    9,654x = 14,481.16 × 3,810.56
  4. Step 4: Simplify right side
    9,654x = 55,181,329.05
  5. Step 5: Solve for x
    x = 55,181,329.05/9,654
  6. Step 6: Final answer
    x = 5,715.90

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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.