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Finding the Fourth Proportional to 6,859.50, 9,462.33 and 4,617.42

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Solution

The fourth proportional to 6,859.50, 9,462.33 and 4,617.42 is: 6,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.50 : 9,462.33 = 4,617.42 : x
  2. Step 2: Convert to fraction form
    6,859.50/9,462.33 = 4,617.42/x
  3. Step 3: Cross multiply
    6,859.50x = 9,462.33 × 4,617.42
  4. Step 4: Simplify right side
    6,859.50x = 43,691,551.79
  5. Step 5: Solve for x
    x = 43,691,551.79/6,859.50
  6. Step 6: Final answer
    x = 6,369.50

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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.