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Finding the Fourth Proportional to 6,820.32, 9,412.16 and 3,836

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Solution

The fourth proportional to 6,820.32, 9,412.16 and 3,836 is: 5,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.32 : 9,412.16 = 3,836 : x
  2. Step 2: Convert to fraction form
    6,820.32/9,412.16 = 3,836/x
  3. Step 3: Cross multiply
    6,820.32x = 9,412.16 × 3,836
  4. Step 4: Simplify right side
    6,820.32x = 36,105,045.76
  5. Step 5: Solve for x
    x = 36,105,045.76/6,820.32
  6. Step 6: Final answer
    x = 5,293.75

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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.