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Finding the Fourth Proportional to 6,444.27, 9,666 and 3,845.25

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Solution

The fourth proportional to 6,444.27, 9,666 and 3,845.25 is: 5,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.27 : 9,666 = 3,845.25 : x
  2. Step 2: Convert to fraction form
    6,444.27/9,666 = 3,845.25/x
  3. Step 3: Cross multiply
    6,444.27x = 9,666 × 3,845.25
  4. Step 4: Simplify right side
    6,444.27x = 37,168,186.50
  5. Step 5: Solve for x
    x = 37,168,186.50/6,444.27
  6. Step 6: Final answer
    x = 5,767.63

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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.