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Finding the Fourth Proportional to 6,112.44, 9,146.76 and 5,293.52

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Solution

The fourth proportional to 6,112.44, 9,146.76 and 5,293.52 is: 7,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.44 : 9,146.76 = 5,293.52 : x
  2. Step 2: Convert to fraction form
    6,112.44/9,146.76 = 5,293.52/x
  3. Step 3: Cross multiply
    6,112.44x = 9,146.76 × 5,293.52
  4. Step 4: Simplify right side
    6,112.44x = 48,418,557.00
  5. Step 5: Solve for x
    x = 48,418,557.00/6,112.44
  6. Step 6: Final answer
    x = 7,921.31

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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.