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Finding the Fourth Proportional to 9,862.44, 14,788.72 and 3,286.32

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Solution

The fourth proportional to 9,862.44, 14,788.72 and 3,286.32 is: 4,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.44 : 14,788.72 = 3,286.32 : x
  2. Step 2: Convert to fraction form
    9,862.44/14,788.72 = 3,286.32/x
  3. Step 3: Cross multiply
    9,862.44x = 14,788.72 × 3,286.32
  4. Step 4: Simplify right side
    9,862.44x = 48,600,466.31
  5. Step 5: Solve for x
    x = 48,600,466.31/9,862.44
  6. Step 6: Final answer
    x = 4,927.83

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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.