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Finding the Fourth Proportional to 6,184.18, 9,274.11 and 3,840.58

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Solution

The fourth proportional to 6,184.18, 9,274.11 and 3,840.58 is: 5,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.18 : 9,274.11 = 3,840.58 : x
  2. Step 2: Convert to fraction form
    6,184.18/9,274.11 = 3,840.58/x
  3. Step 3: Cross multiply
    6,184.18x = 9,274.11 × 3,840.58
  4. Step 4: Simplify right side
    6,184.18x = 35,617,961.38
  5. Step 5: Solve for x
    x = 35,617,961.38/6,184.18
  6. Step 6: Final answer
    x = 5,759.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.