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Finding the Fourth Proportional to 6,444.86, 9,669.57 and 3,976.80

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Solution

The fourth proportional to 6,444.86, 9,669.57 and 3,976.80 is: 5,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.86 : 9,669.57 = 3,976.80 : x
  2. Step 2: Convert to fraction form
    6,444.86/9,669.57 = 3,976.80/x
  3. Step 3: Cross multiply
    6,444.86x = 9,669.57 × 3,976.80
  4. Step 4: Simplify right side
    6,444.86x = 38,453,945.98
  5. Step 5: Solve for x
    x = 38,453,945.98/6,444.86
  6. Step 6: Final answer
    x = 5,966.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.