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Finding the Fourth Proportional to 9,768.52, 14,653.02 and 2,843.08

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Solution

The fourth proportional to 9,768.52, 14,653.02 and 2,843.08 is: 4,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.52 : 14,653.02 = 2,843.08 : x
  2. Step 2: Convert to fraction form
    9,768.52/14,653.02 = 2,843.08/x
  3. Step 3: Cross multiply
    9,768.52x = 14,653.02 × 2,843.08
  4. Step 4: Simplify right side
    9,768.52x = 41,659,708.10
  5. Step 5: Solve for x
    x = 41,659,708.10/9,768.52
  6. Step 6: Final answer
    x = 4,264.69

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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.