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Finding the Fourth Proportional to 7,164.88, 9,887.37 and 3,977.99

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Solution

The fourth proportional to 7,164.88, 9,887.37 and 3,977.99 is: 5,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.88 : 9,887.37 = 3,977.99 : x
  2. Step 2: Convert to fraction form
    7,164.88/9,887.37 = 3,977.99/x
  3. Step 3: Cross multiply
    7,164.88x = 9,887.37 × 3,977.99
  4. Step 4: Simplify right side
    7,164.88x = 39,331,858.99
  5. Step 5: Solve for x
    x = 39,331,858.99/7,164.88
  6. Step 6: Final answer
    x = 5,489.53

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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.