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Finding the Fourth Proportional to 9,185.78, 13,780.83 and 3,342.44

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Solution

The fourth proportional to 9,185.78, 13,780.83 and 3,342.44 is: 5,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.78 : 13,780.83 = 3,342.44 : x
  2. Step 2: Convert to fraction form
    9,185.78/13,780.83 = 3,342.44/x
  3. Step 3: Cross multiply
    9,185.78x = 13,780.83 × 3,342.44
  4. Step 4: Simplify right side
    9,185.78x = 46,061,597.43
  5. Step 5: Solve for x
    x = 46,061,597.43/9,185.78
  6. Step 6: Final answer
    x = 5,014.45

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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.