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Finding the Fourth Proportional to 6,334.86, 8,735.40 and 4,348.32

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Solution

The fourth proportional to 6,334.86, 8,735.40 and 4,348.32 is: 5,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.86 : 8,735.40 = 4,348.32 : x
  2. Step 2: Convert to fraction form
    6,334.86/8,735.40 = 4,348.32/x
  3. Step 3: Cross multiply
    6,334.86x = 8,735.40 × 4,348.32
  4. Step 4: Simplify right side
    6,334.86x = 37,984,314.53
  5. Step 5: Solve for x
    x = 37,984,314.53/6,334.86
  6. Step 6: Final answer
    x = 5,996.08

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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.