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Finding the Fourth Proportional to 9,644.30, 14,467.80 and 4,097.60

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Solution

The fourth proportional to 9,644.30, 14,467.80 and 4,097.60 is: 6,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.30 : 14,467.80 = 4,097.60 : x
  2. Step 2: Convert to fraction form
    9,644.30/14,467.80 = 4,097.60/x
  3. Step 3: Cross multiply
    9,644.30x = 14,467.80 × 4,097.60
  4. Step 4: Simplify right side
    9,644.30x = 59,283,257.28
  5. Step 5: Solve for x
    x = 59,283,257.28/9,644.30
  6. Step 6: Final answer
    x = 6,146.97

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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.