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Finding the Fourth Proportional to 6,801.12, 9,384.40 and 3,816.88

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Solution

The fourth proportional to 6,801.12, 9,384.40 and 3,816.88 is: 5,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.12 : 9,384.40 = 3,816.88 : x
  2. Step 2: Convert to fraction form
    6,801.12/9,384.40 = 3,816.88/x
  3. Step 3: Cross multiply
    6,801.12x = 9,384.40 × 3,816.88
  4. Step 4: Simplify right side
    6,801.12x = 35,819,128.67
  5. Step 5: Solve for x
    x = 35,819,128.67/6,801.12
  6. Step 6: Final answer
    x = 5,266.65

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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.