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Finding the Fourth Proportional to 9,644.57, 14,468.66 and 4,379.94

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Solution

The fourth proportional to 9,644.57, 14,468.66 and 4,379.94 is: 6,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.57 : 14,468.66 = 4,379.94 : x
  2. Step 2: Convert to fraction form
    9,644.57/14,468.66 = 4,379.94/x
  3. Step 3: Cross multiply
    9,644.57x = 14,468.66 × 4,379.94
  4. Step 4: Simplify right side
    9,644.57x = 63,371,862.68
  5. Step 5: Solve for x
    x = 63,371,862.68/9,644.57
  6. Step 6: Final answer
    x = 6,570.73

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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.