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Finding the Fourth Proportional to 9,858.88, 14,778 and 3,933.44

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Solution

The fourth proportional to 9,858.88, 14,778 and 3,933.44 is: 5,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.88 : 14,778 = 3,933.44 : x
  2. Step 2: Convert to fraction form
    9,858.88/14,778 = 3,933.44/x
  3. Step 3: Cross multiply
    9,858.88x = 14,778 × 3,933.44
  4. Step 4: Simplify right side
    9,858.88x = 58,128,376.32
  5. Step 5: Solve for x
    x = 58,128,376.32/9,858.88
  6. Step 6: Final answer
    x = 5,896.04

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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.