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Finding the Fourth Proportional to 6,825.42, 9,422.28 and 5,147.55

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Solution

The fourth proportional to 6,825.42, 9,422.28 and 5,147.55 is: 7,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.42 : 9,422.28 = 5,147.55 : x
  2. Step 2: Convert to fraction form
    6,825.42/9,422.28 = 5,147.55/x
  3. Step 3: Cross multiply
    6,825.42x = 9,422.28 × 5,147.55
  4. Step 4: Simplify right side
    6,825.42x = 48,501,657.41
  5. Step 5: Solve for x
    x = 48,501,657.41/6,825.42
  6. Step 6: Final answer
    x = 7,106.03

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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.