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Finding the Fourth Proportional to 6,284.52, 9,437.73 and 5,790

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Solution

The fourth proportional to 6,284.52, 9,437.73 and 5,790 is: 8,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.52 : 9,437.73 = 5,790 : x
  2. Step 2: Convert to fraction form
    6,284.52/9,437.73 = 5,790/x
  3. Step 3: Cross multiply
    6,284.52x = 9,437.73 × 5,790
  4. Step 4: Simplify right side
    6,284.52x = 54,644,456.70
  5. Step 5: Solve for x
    x = 54,644,456.70/6,284.52
  6. Step 6: Final answer
    x = 8,695.09

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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.