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Finding the Fourth Proportional to 6,496.83, 8,965.58 and 3,512.65

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Solution

The fourth proportional to 6,496.83, 8,965.58 and 3,512.65 is: 4,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.83 : 8,965.58 = 3,512.65 : x
  2. Step 2: Convert to fraction form
    6,496.83/8,965.58 = 3,512.65/x
  3. Step 3: Cross multiply
    6,496.83x = 8,965.58 × 3,512.65
  4. Step 4: Simplify right side
    6,496.83x = 31,492,944.59
  5. Step 5: Solve for x
    x = 31,492,944.59/6,496.83
  6. Step 6: Final answer
    x = 4,847.43

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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.