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Finding the Fourth Proportional to 6,840.91, 9,438.24 and 4,185.55

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Solution

The fourth proportional to 6,840.91, 9,438.24 and 4,185.55 is: 5,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.91 : 9,438.24 = 4,185.55 : x
  2. Step 2: Convert to fraction form
    6,840.91/9,438.24 = 4,185.55/x
  3. Step 3: Cross multiply
    6,840.91x = 9,438.24 × 4,185.55
  4. Step 4: Simplify right side
    6,840.91x = 39,504,225.43
  5. Step 5: Solve for x
    x = 39,504,225.43/6,840.91
  6. Step 6: Final answer
    x = 5,774.70

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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.