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Finding the Fourth Proportional to 6,976.38, 9,625.23 and 4,284.77

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Solution

The fourth proportional to 6,976.38, 9,625.23 and 4,284.77 is: 5,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.38 : 9,625.23 = 4,284.77 : x
  2. Step 2: Convert to fraction form
    6,976.38/9,625.23 = 4,284.77/x
  3. Step 3: Cross multiply
    6,976.38x = 9,625.23 × 4,284.77
  4. Step 4: Simplify right side
    6,976.38x = 41,241,929.83
  5. Step 5: Solve for x
    x = 41,241,929.83/6,976.38
  6. Step 6: Final answer
    x = 5,911.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.