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Finding the Fourth Proportional to 6,835.69, 9,433.67 and 4,563.14

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Solution

The fourth proportional to 6,835.69, 9,433.67 and 4,563.14 is: 6,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.69 : 9,433.67 = 4,563.14 : x
  2. Step 2: Convert to fraction form
    6,835.69/9,433.67 = 4,563.14/x
  3. Step 3: Cross multiply
    6,835.69x = 9,433.67 × 4,563.14
  4. Step 4: Simplify right side
    6,835.69x = 43,047,086.94
  5. Step 5: Solve for x
    x = 43,047,086.94/6,835.69
  6. Step 6: Final answer
    x = 6,297.40

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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.