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Finding the Fourth Proportional to 9,235.41, 13,842.57 and 3,968.79

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Solution

The fourth proportional to 9,235.41, 13,842.57 and 3,968.79 is: 5,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.41 : 13,842.57 = 3,968.79 : x
  2. Step 2: Convert to fraction form
    9,235.41/13,842.57 = 3,968.79/x
  3. Step 3: Cross multiply
    9,235.41x = 13,842.57 × 3,968.79
  4. Step 4: Simplify right side
    9,235.41x = 54,938,253.39
  5. Step 5: Solve for x
    x = 54,938,253.39/9,235.41
  6. Step 6: Final answer
    x = 5,948.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.