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Finding the Fourth Proportional to 6,935.50, 9,570.81 and 4,103.02

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Solution

The fourth proportional to 6,935.50, 9,570.81 and 4,103.02 is: 5,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.50 : 9,570.81 = 4,103.02 : x
  2. Step 2: Convert to fraction form
    6,935.50/9,570.81 = 4,103.02/x
  3. Step 3: Cross multiply
    6,935.50x = 9,570.81 × 4,103.02
  4. Step 4: Simplify right side
    6,935.50x = 39,269,224.85
  5. Step 5: Solve for x
    x = 39,269,224.85/6,935.50
  6. Step 6: Final answer
    x = 5,662.06

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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.