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Finding the Fourth Proportional to 6,605.93, 9,908.90 and 3,142.37

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Solution

The fourth proportional to 6,605.93, 9,908.90 and 3,142.37 is: 4,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.93 : 9,908.90 = 3,142.37 : x
  2. Step 2: Convert to fraction form
    6,605.93/9,908.90 = 3,142.37/x
  3. Step 3: Cross multiply
    6,605.93x = 9,908.90 × 3,142.37
  4. Step 4: Simplify right side
    6,605.93x = 31,137,430.09
  5. Step 5: Solve for x
    x = 31,137,430.09/6,605.93
  6. Step 6: Final answer
    x = 4,713.56

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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.