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Finding the Fourth Proportional to 7,644.27, 11,414.64 and 6,066.57

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Solution

The fourth proportional to 7,644.27, 11,414.64 and 6,066.57 is: 9,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.27 : 11,414.64 = 6,066.57 : x
  2. Step 2: Convert to fraction form
    7,644.27/11,414.64 = 6,066.57/x
  3. Step 3: Cross multiply
    7,644.27x = 11,414.64 × 6,066.57
  4. Step 4: Simplify right side
    7,644.27x = 69,247,712.58
  5. Step 5: Solve for x
    x = 69,247,712.58/7,644.27
  6. Step 6: Final answer
    x = 9,058.77

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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.