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Finding the Fourth Proportional to 6,369.53, 9,503.17 and 5,667.86

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Solution

The fourth proportional to 6,369.53, 9,503.17 and 5,667.86 is: 8,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.53 : 9,503.17 = 5,667.86 : x
  2. Step 2: Convert to fraction form
    6,369.53/9,503.17 = 5,667.86/x
  3. Step 3: Cross multiply
    6,369.53x = 9,503.17 × 5,667.86
  4. Step 4: Simplify right side
    6,369.53x = 53,862,646.70
  5. Step 5: Solve for x
    x = 53,862,646.70/6,369.53
  6. Step 6: Final answer
    x = 8,456.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.