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Finding the Fourth Proportional to 9,887.49, 13,644.32 and 5,910.80

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Solution

The fourth proportional to 9,887.49, 13,644.32 and 5,910.80 is: 8,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.49 : 13,644.32 = 5,910.80 : x
  2. Step 2: Convert to fraction form
    9,887.49/13,644.32 = 5,910.80/x
  3. Step 3: Cross multiply
    9,887.49x = 13,644.32 × 5,910.80
  4. Step 4: Simplify right side
    9,887.49x = 80,648,748.88
  5. Step 5: Solve for x
    x = 80,648,748.88/9,887.49
  6. Step 6: Final answer
    x = 8,156.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.