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Finding the Fourth Proportional to 9,887.05, 13,644.14 and 5,410.83

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Solution

The fourth proportional to 9,887.05, 13,644.14 and 5,410.83 is: 7,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.05 : 13,644.14 = 5,410.83 : x
  2. Step 2: Convert to fraction form
    9,887.05/13,644.14 = 5,410.83/x
  3. Step 3: Cross multiply
    9,887.05x = 13,644.14 × 5,410.83
  4. Step 4: Simplify right side
    9,887.05x = 73,826,161.37
  5. Step 5: Solve for x
    x = 73,826,161.37/9,887.05
  6. Step 6: Final answer
    x = 7,466.96

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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.