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Finding the Fourth Proportional to 6,366.63, 8,785.98 and 3,533.82

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Solution

The fourth proportional to 6,366.63, 8,785.98 and 3,533.82 is: 4,876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.63 : 8,785.98 = 3,533.82 : x
  2. Step 2: Convert to fraction form
    6,366.63/8,785.98 = 3,533.82/x
  3. Step 3: Cross multiply
    6,366.63x = 8,785.98 × 3,533.82
  4. Step 4: Simplify right side
    6,366.63x = 31,048,071.84
  5. Step 5: Solve for x
    x = 31,048,071.84/6,366.63
  6. Step 6: Final answer
    x = 4,876.69

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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.