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Finding the Fourth Proportional to 6,496.39, 8,965.55 and 3,663.62

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Solution

The fourth proportional to 6,496.39, 8,965.55 and 3,663.62 is: 5,056.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.39 : 8,965.55 = 3,663.62 : x
  2. Step 2: Convert to fraction form
    6,496.39/8,965.55 = 3,663.62/x
  3. Step 3: Cross multiply
    6,496.39x = 8,965.55 × 3,663.62
  4. Step 4: Simplify right side
    6,496.39x = 32,846,368.29
  5. Step 5: Solve for x
    x = 32,846,368.29/6,496.39
  6. Step 6: Final answer
    x = 5,056.10

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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.