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Finding the Fourth Proportional to 7,213.14, 9,952.98 and 4,069.26

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Solution

The fourth proportional to 7,213.14, 9,952.98 and 4,069.26 is: 5,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.14 : 9,952.98 = 4,069.26 : x
  2. Step 2: Convert to fraction form
    7,213.14/9,952.98 = 4,069.26/x
  3. Step 3: Cross multiply
    7,213.14x = 9,952.98 × 4,069.26
  4. Step 4: Simplify right side
    7,213.14x = 40,501,263.39
  5. Step 5: Solve for x
    x = 40,501,263.39/7,213.14
  6. Step 6: Final answer
    x = 5,614.93

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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.