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Finding the Fourth Proportional to 6,805.44, 9,384.12 and 5,913.36

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Solution

The fourth proportional to 6,805.44, 9,384.12 and 5,913.36 is: 8,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.44 : 9,384.12 = 5,913.36 : x
  2. Step 2: Convert to fraction form
    6,805.44/9,384.12 = 5,913.36/x
  3. Step 3: Cross multiply
    6,805.44x = 9,384.12 × 5,913.36
  4. Step 4: Simplify right side
    6,805.44x = 55,491,679.84
  5. Step 5: Solve for x
    x = 55,491,679.84/6,805.44
  6. Step 6: Final answer
    x = 8,154.02

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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.