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Finding the Fourth Proportional to 9,644.81, 14,469.03 and 6,531.98

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Solution

The fourth proportional to 9,644.81, 14,469.03 and 6,531.98 is: 9,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.81 : 14,469.03 = 6,531.98 : x
  2. Step 2: Convert to fraction form
    9,644.81/14,469.03 = 6,531.98/x
  3. Step 3: Cross multiply
    9,644.81x = 14,469.03 × 6,531.98
  4. Step 4: Simplify right side
    9,644.81x = 94,511,342.23
  5. Step 5: Solve for x
    x = 94,511,342.23/9,644.81
  6. Step 6: Final answer
    x = 9,799.20

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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.