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Finding the Fourth Proportional to 9,644.61, 14,469.48 and 4,098.27

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Solution

The fourth proportional to 9,644.61, 14,469.48 and 4,098.27 is: 6,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.61 : 14,469.48 = 4,098.27 : x
  2. Step 2: Convert to fraction form
    9,644.61/14,469.48 = 4,098.27/x
  3. Step 3: Cross multiply
    9,644.61x = 14,469.48 × 4,098.27
  4. Step 4: Simplify right side
    9,644.61x = 59,299,835.80
  5. Step 5: Solve for x
    x = 59,299,835.80/9,644.61
  6. Step 6: Final answer
    x = 6,148.49

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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.