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Finding the Fourth Proportional to 9,340.44, 14,014.98 and 5,644.68

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Solution

The fourth proportional to 9,340.44, 14,014.98 and 5,644.68 is: 8,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.44 : 14,014.98 = 5,644.68 : x
  2. Step 2: Convert to fraction form
    9,340.44/14,014.98 = 5,644.68/x
  3. Step 3: Cross multiply
    9,340.44x = 14,014.98 × 5,644.68
  4. Step 4: Simplify right side
    9,340.44x = 79,110,077.31
  5. Step 5: Solve for x
    x = 79,110,077.31/9,340.44
  6. Step 6: Final answer
    x = 8,469.63

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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.