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Finding the Fourth Proportional to 6,350.49, 9,526.64 and 1,968.32

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Solution

The fourth proportional to 6,350.49, 9,526.64 and 1,968.32 is: 2,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.49 : 9,526.64 = 1,968.32 : x
  2. Step 2: Convert to fraction form
    6,350.49/9,526.64 = 1,968.32/x
  3. Step 3: Cross multiply
    6,350.49x = 9,526.64 × 1,968.32
  4. Step 4: Simplify right side
    6,350.49x = 18,751,418.57
  5. Step 5: Solve for x
    x = 18,751,418.57/6,350.49
  6. Step 6: Final answer
    x = 2,952.75

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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.