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Finding the Fourth Proportional to 6,496.10, 9,744.15 and 2,336.12

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Solution

The fourth proportional to 6,496.10, 9,744.15 and 2,336.12 is: 3,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.10 : 9,744.15 = 2,336.12 : x
  2. Step 2: Convert to fraction form
    6,496.10/9,744.15 = 2,336.12/x
  3. Step 3: Cross multiply
    6,496.10x = 9,744.15 × 2,336.12
  4. Step 4: Simplify right side
    6,496.10x = 22,763,492.02
  5. Step 5: Solve for x
    x = 22,763,492.02/6,496.10
  6. Step 6: Final answer
    x = 3,504.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.