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Finding the Fourth Proportional to 9,306.41, 12,842.82 and 5,327.60

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Solution

The fourth proportional to 9,306.41, 12,842.82 and 5,327.60 is: 7,352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.41 : 12,842.82 = 5,327.60 : x
  2. Step 2: Convert to fraction form
    9,306.41/12,842.82 = 5,327.60/x
  3. Step 3: Cross multiply
    9,306.41x = 12,842.82 × 5,327.60
  4. Step 4: Simplify right side
    9,306.41x = 68,421,343.62
  5. Step 5: Solve for x
    x = 68,421,343.62/9,306.41
  6. Step 6: Final answer
    x = 7,352.07

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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.