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Finding the Fourth Proportional to 6,772.41, 9,347.67 and 4,119.39

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Solution

The fourth proportional to 6,772.41, 9,347.67 and 4,119.39 is: 5,685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.41 : 9,347.67 = 4,119.39 : x
  2. Step 2: Convert to fraction form
    6,772.41/9,347.67 = 4,119.39/x
  3. Step 3: Cross multiply
    6,772.41x = 9,347.67 × 4,119.39
  4. Step 4: Simplify right side
    6,772.41x = 38,506,698.32
  5. Step 5: Solve for x
    x = 38,506,698.32/6,772.41
  6. Step 6: Final answer
    x = 5,685.82

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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.