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Finding the Fourth Proportional to 6,338.21, 8,741.59 and 4,843.76

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Solution

The fourth proportional to 6,338.21, 8,741.59 and 4,843.76 is: 6,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.21 : 8,741.59 = 4,843.76 : x
  2. Step 2: Convert to fraction form
    6,338.21/8,741.59 = 4,843.76/x
  3. Step 3: Cross multiply
    6,338.21x = 8,741.59 × 4,843.76
  4. Step 4: Simplify right side
    6,338.21x = 42,342,108.16
  5. Step 5: Solve for x
    x = 42,342,108.16/6,338.21
  6. Step 6: Final answer
    x = 6,680.46

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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.