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Finding the Fourth Proportional to 7,184.39, 9,914.55 and 3,997.40

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Solution

The fourth proportional to 7,184.39, 9,914.55 and 3,997.40 is: 5,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.39 : 9,914.55 = 3,997.40 : x
  2. Step 2: Convert to fraction form
    7,184.39/9,914.55 = 3,997.40/x
  3. Step 3: Cross multiply
    7,184.39x = 9,914.55 × 3,997.40
  4. Step 4: Simplify right side
    7,184.39x = 39,632,422.17
  5. Step 5: Solve for x
    x = 39,632,422.17/7,184.39
  6. Step 6: Final answer
    x = 5,516.46

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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.