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Finding the Fourth Proportional to 6,505.16, 9,755.44 and 2,344.06

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Solution

The fourth proportional to 6,505.16, 9,755.44 and 2,344.06 is: 3,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.16 : 9,755.44 = 2,344.06 : x
  2. Step 2: Convert to fraction form
    6,505.16/9,755.44 = 2,344.06/x
  3. Step 3: Cross multiply
    6,505.16x = 9,755.44 × 2,344.06
  4. Step 4: Simplify right side
    6,505.16x = 22,867,336.69
  5. Step 5: Solve for x
    x = 22,867,336.69/6,505.16
  6. Step 6: Final answer
    x = 3,515.26

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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.