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Finding the Fourth Proportional to 6,266.18, 9,394.41 and 2,569.34

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Solution

The fourth proportional to 6,266.18, 9,394.41 and 2,569.34 is: 3,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.18 : 9,394.41 = 2,569.34 : x
  2. Step 2: Convert to fraction form
    6,266.18/9,394.41 = 2,569.34/x
  3. Step 3: Cross multiply
    6,266.18x = 9,394.41 × 2,569.34
  4. Step 4: Simplify right side
    6,266.18x = 24,137,433.39
  5. Step 5: Solve for x
    x = 24,137,433.39/6,266.18
  6. Step 6: Final answer
    x = 3,852.02

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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.