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Finding the Fourth Proportional to 6,810.08, 9,396.80 and 3,825.52

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Solution

The fourth proportional to 6,810.08, 9,396.80 and 3,825.52 is: 5,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.08 : 9,396.80 = 3,825.52 : x
  2. Step 2: Convert to fraction form
    6,810.08/9,396.80 = 3,825.52/x
  3. Step 3: Cross multiply
    6,810.08x = 9,396.80 × 3,825.52
  4. Step 4: Simplify right side
    6,810.08x = 35,947,646.34
  5. Step 5: Solve for x
    x = 35,947,646.34/6,810.08
  6. Step 6: Final answer
    x = 5,278.59

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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.