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Finding the Fourth Proportional to 7,165.20, 9,887.73 and 3,978.66

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Solution

The fourth proportional to 7,165.20, 9,887.73 and 3,978.66 is: 5,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.20 : 9,887.73 = 3,978.66 : x
  2. Step 2: Convert to fraction form
    7,165.20/9,887.73 = 3,978.66/x
  3. Step 3: Cross multiply
    7,165.20x = 9,887.73 × 3,978.66
  4. Step 4: Simplify right side
    7,165.20x = 39,339,915.84
  5. Step 5: Solve for x
    x = 39,339,915.84/7,165.20
  6. Step 6: Final answer
    x = 5,490.41

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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.