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Finding the Fourth Proportional to 6,265.89, 9,394.70 and 2,564.37

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Solution

The fourth proportional to 6,265.89, 9,394.70 and 2,564.37 is: 3,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.89 : 9,394.70 = 2,564.37 : x
  2. Step 2: Convert to fraction form
    6,265.89/9,394.70 = 2,564.37/x
  3. Step 3: Cross multiply
    6,265.89x = 9,394.70 × 2,564.37
  4. Step 4: Simplify right side
    6,265.89x = 24,091,474.02
  5. Step 5: Solve for x
    x = 24,091,474.02/6,265.89
  6. Step 6: Final answer
    x = 3,844.86

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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.