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Finding the Fourth Proportional to 7,226.56, 9,972.68 and 3,914.56

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Solution

The fourth proportional to 7,226.56, 9,972.68 and 3,914.56 is: 5,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.56 : 9,972.68 = 3,914.56 : x
  2. Step 2: Convert to fraction form
    7,226.56/9,972.68 = 3,914.56/x
  3. Step 3: Cross multiply
    7,226.56x = 9,972.68 × 3,914.56
  4. Step 4: Simplify right side
    7,226.56x = 39,038,654.22
  5. Step 5: Solve for x
    x = 39,038,654.22/7,226.56
  6. Step 6: Final answer
    x = 5,402.11

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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.