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Finding the Fourth Proportional to 6,338.12, 8,746.62 and 3,505.70

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Solution

The fourth proportional to 6,338.12, 8,746.62 and 3,505.70 is: 4,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.12 : 8,746.62 = 3,505.70 : x
  2. Step 2: Convert to fraction form
    6,338.12/8,746.62 = 3,505.70/x
  3. Step 3: Cross multiply
    6,338.12x = 8,746.62 × 3,505.70
  4. Step 4: Simplify right side
    6,338.12x = 30,663,025.73
  5. Step 5: Solve for x
    x = 30,663,025.73/6,338.12
  6. Step 6: Final answer
    x = 4,837.87

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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.