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Finding the Fourth Proportional to 9,769.52, 14,654.52 and 2,844.08

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Solution

The fourth proportional to 9,769.52, 14,654.52 and 2,844.08 is: 4,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.52 : 14,654.52 = 2,844.08 : x
  2. Step 2: Convert to fraction form
    9,769.52/14,654.52 = 2,844.08/x
  3. Step 3: Cross multiply
    9,769.52x = 14,654.52 × 2,844.08
  4. Step 4: Simplify right side
    9,769.52x = 41,678,627.24
  5. Step 5: Solve for x
    x = 41,678,627.24/9,769.52
  6. Step 6: Final answer
    x = 4,266.19

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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.