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Finding the Fourth Proportional to 6,379.74, 9,572.26 and 3,095.28

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Solution

The fourth proportional to 6,379.74, 9,572.26 and 3,095.28 is: 4,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.74 : 9,572.26 = 3,095.28 : x
  2. Step 2: Convert to fraction form
    6,379.74/9,572.26 = 3,095.28/x
  3. Step 3: Cross multiply
    6,379.74x = 9,572.26 × 3,095.28
  4. Step 4: Simplify right side
    6,379.74x = 29,628,824.93
  5. Step 5: Solve for x
    x = 29,628,824.93/6,379.74
  6. Step 6: Final answer
    x = 4,644.21

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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.