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Finding the Fourth Proportional to 7,165.43, 9,888.15 and 3,978.56

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Solution

The fourth proportional to 7,165.43, 9,888.15 and 3,978.56 is: 5,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.43 : 9,888.15 = 3,978.56 : x
  2. Step 2: Convert to fraction form
    7,165.43/9,888.15 = 3,978.56/x
  3. Step 3: Cross multiply
    7,165.43x = 9,888.15 × 3,978.56
  4. Step 4: Simplify right side
    7,165.43x = 39,340,567.16
  5. Step 5: Solve for x
    x = 39,340,567.16/7,165.43
  6. Step 6: Final answer
    x = 5,490.33

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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.