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Finding the Fourth Proportional to 9,967.44, 14,951.40 and 4,122.48

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Solution

The fourth proportional to 9,967.44, 14,951.40 and 4,122.48 is: 6,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.44 : 14,951.40 = 4,122.48 : x
  2. Step 2: Convert to fraction form
    9,967.44/14,951.40 = 4,122.48/x
  3. Step 3: Cross multiply
    9,967.44x = 14,951.40 × 4,122.48
  4. Step 4: Simplify right side
    9,967.44x = 61,636,847.47
  5. Step 5: Solve for x
    x = 61,636,847.47/9,967.44
  6. Step 6: Final answer
    x = 6,183.82

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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.