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Finding the Fourth Proportional to 6,185.57, 9,269.24 and 4,534.38

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Solution

The fourth proportional to 6,185.57, 9,269.24 and 4,534.38 is: 6,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.57 : 9,269.24 = 4,534.38 : x
  2. Step 2: Convert to fraction form
    6,185.57/9,269.24 = 4,534.38/x
  3. Step 3: Cross multiply
    6,185.57x = 9,269.24 × 4,534.38
  4. Step 4: Simplify right side
    6,185.57x = 42,030,233.80
  5. Step 5: Solve for x
    x = 42,030,233.80/6,185.57
  6. Step 6: Final answer
    x = 6,794.89

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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.