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Finding the Fourth Proportional to 9,112.78, 13,674.93 and 5,224.78

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Solution

The fourth proportional to 9,112.78, 13,674.93 and 5,224.78 is: 7,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.78 : 13,674.93 = 5,224.78 : x
  2. Step 2: Convert to fraction form
    9,112.78/13,674.93 = 5,224.78/x
  3. Step 3: Cross multiply
    9,112.78x = 13,674.93 × 5,224.78
  4. Step 4: Simplify right side
    9,112.78x = 71,448,500.77
  5. Step 5: Solve for x
    x = 71,448,500.77/9,112.78
  6. Step 6: Final answer
    x = 7,840.47

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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.