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Finding the Fourth Proportional to 9,644.37, 14,468.18 and 3,072.57

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Solution

The fourth proportional to 9,644.37, 14,468.18 and 3,072.57 is: 4,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.37 : 14,468.18 = 3,072.57 : x
  2. Step 2: Convert to fraction form
    9,644.37/14,468.18 = 3,072.57/x
  3. Step 3: Cross multiply
    9,644.37x = 14,468.18 × 3,072.57
  4. Step 4: Simplify right side
    9,644.37x = 44,454,495.82
  5. Step 5: Solve for x
    x = 44,454,495.82/9,644.37
  6. Step 6: Final answer
    x = 4,609.37

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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.