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Finding the Fourth Proportional to 6,807.90, 9,394.55 and 3,823.86

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Solution

The fourth proportional to 6,807.90, 9,394.55 and 3,823.86 is: 5,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.90 : 9,394.55 = 3,823.86 : x
  2. Step 2: Convert to fraction form
    6,807.90/9,394.55 = 3,823.86/x
  3. Step 3: Cross multiply
    6,807.90x = 9,394.55 × 3,823.86
  4. Step 4: Simplify right side
    6,807.90x = 35,923,443.96
  5. Step 5: Solve for x
    x = 35,923,443.96/6,807.90
  6. Step 6: Final answer
    x = 5,276.73

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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.