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Finding the Fourth Proportional to 6,366.67, 8,785.69 and 3,534.01

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Solution

The fourth proportional to 6,366.67, 8,785.69 and 3,534.01 is: 4,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.67 : 8,785.69 = 3,534.01 : x
  2. Step 2: Convert to fraction form
    6,366.67/8,785.69 = 3,534.01/x
  3. Step 3: Cross multiply
    6,366.67x = 8,785.69 × 3,534.01
  4. Step 4: Simplify right side
    6,366.67x = 31,048,716.32
  5. Step 5: Solve for x
    x = 31,048,716.32/6,366.67
  6. Step 6: Final answer
    x = 4,876.76

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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.