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Finding the Fourth Proportional to 6,336.96, 8,741.70 and 4,240.68

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Solution

The fourth proportional to 6,336.96, 8,741.70 and 4,240.68 is: 5,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.96 : 8,741.70 = 4,240.68 : x
  2. Step 2: Convert to fraction form
    6,336.96/8,741.70 = 4,240.68/x
  3. Step 3: Cross multiply
    6,336.96x = 8,741.70 × 4,240.68
  4. Step 4: Simplify right side
    6,336.96x = 37,070,752.36
  5. Step 5: Solve for x
    x = 37,070,752.36/6,336.96
  6. Step 6: Final answer
    x = 5,849.93

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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.