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Finding the Fourth Proportional to 6,496.10, 8,963.88 and 3,663.44

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Solution

The fourth proportional to 6,496.10, 8,963.88 and 3,663.44 is: 5,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.10 : 8,963.88 = 3,663.44 : x
  2. Step 2: Convert to fraction form
    6,496.10/8,963.88 = 3,663.44/x
  3. Step 3: Cross multiply
    6,496.10x = 8,963.88 × 3,663.44
  4. Step 4: Simplify right side
    6,496.10x = 32,838,636.55
  5. Step 5: Solve for x
    x = 32,838,636.55/6,496.10
  6. Step 6: Final answer
    x = 5,055.13

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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.