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Finding the Fourth Proportional to 9,306.34, 12,841.66 and 5,327.22

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Solution

The fourth proportional to 9,306.34, 12,841.66 and 5,327.22 is: 7,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.34 : 12,841.66 = 5,327.22 : x
  2. Step 2: Convert to fraction form
    9,306.34/12,841.66 = 5,327.22/x
  3. Step 3: Cross multiply
    9,306.34x = 12,841.66 × 5,327.22
  4. Step 4: Simplify right side
    9,306.34x = 68,410,347.99
  5. Step 5: Solve for x
    x = 68,410,347.99/9,306.34
  6. Step 6: Final answer
    x = 7,350.94

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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.