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Finding the Fourth Proportional to 6,337.86, 8,747.32 and 3,820.36

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Solution

The fourth proportional to 6,337.86, 8,747.32 and 3,820.36 is: 5,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.86 : 8,747.32 = 3,820.36 : x
  2. Step 2: Convert to fraction form
    6,337.86/8,747.32 = 3,820.36/x
  3. Step 3: Cross multiply
    6,337.86x = 8,747.32 × 3,820.36
  4. Step 4: Simplify right side
    6,337.86x = 33,417,880.02
  5. Step 5: Solve for x
    x = 33,417,880.02/6,337.86
  6. Step 6: Final answer
    x = 5,272.74

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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.