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Finding the Fourth Proportional to 6,334.86, 8,739.96 and 4,099.56

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Solution

The fourth proportional to 6,334.86, 8,739.96 and 4,099.56 is: 5,656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.86 : 8,739.96 = 4,099.56 : x
  2. Step 2: Convert to fraction form
    6,334.86/8,739.96 = 4,099.56/x
  3. Step 3: Cross multiply
    6,334.86x = 8,739.96 × 4,099.56
  4. Step 4: Simplify right side
    6,334.86x = 35,829,946.72
  5. Step 5: Solve for x
    x = 35,829,946.72/6,334.86
  6. Step 6: Final answer
    x = 5,656.00

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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.