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Finding the Fourth Proportional to 6,820.68, 9,412.45 and 3,836.51

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Solution

The fourth proportional to 6,820.68, 9,412.45 and 3,836.51 is: 5,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.68 : 9,412.45 = 3,836.51 : x
  2. Step 2: Convert to fraction form
    6,820.68/9,412.45 = 3,836.51/x
  3. Step 3: Cross multiply
    6,820.68x = 9,412.45 × 3,836.51
  4. Step 4: Simplify right side
    6,820.68x = 36,110,972.49
  5. Step 5: Solve for x
    x = 36,110,972.49/6,820.68
  6. Step 6: Final answer
    x = 5,294.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.