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Finding the Fourth Proportional to 9,229.42, 13,848.00 and 3,965.58

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Solution

The fourth proportional to 9,229.42, 13,848.00 and 3,965.58 is: 5,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.42 : 13,848.00 = 3,965.58 : x
  2. Step 2: Convert to fraction form
    9,229.42/13,848.00 = 3,965.58/x
  3. Step 3: Cross multiply
    9,229.42x = 13,848.00 × 3,965.58
  4. Step 4: Simplify right side
    9,229.42x = 54,915,364.19
  5. Step 5: Solve for x
    x = 54,915,364.19/9,229.42
  6. Step 6: Final answer
    x = 5,950.04

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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.