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Finding the Fourth Proportional to 9,887.56, 13,633.62 and 7,399.24

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Solution

The fourth proportional to 9,887.56, 13,633.62 and 7,399.24 is: 10,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.56 : 13,633.62 = 7,399.24 : x
  2. Step 2: Convert to fraction form
    9,887.56/13,633.62 = 7,399.24/x
  3. Step 3: Cross multiply
    9,887.56x = 13,633.62 × 7,399.24
  4. Step 4: Simplify right side
    9,887.56x = 100,878,426.45
  5. Step 5: Solve for x
    x = 100,878,426.45/9,887.56
  6. Step 6: Final answer
    x = 10,202.56

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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.