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Finding the Fourth Proportional to 6,156.52, 9,238.46 and 2,261.32

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Solution

The fourth proportional to 6,156.52, 9,238.46 and 2,261.32 is: 3,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.52 : 9,238.46 = 2,261.32 : x
  2. Step 2: Convert to fraction form
    6,156.52/9,238.46 = 2,261.32/x
  3. Step 3: Cross multiply
    6,156.52x = 9,238.46 × 2,261.32
  4. Step 4: Simplify right side
    6,156.52x = 20,891,114.37
  5. Step 5: Solve for x
    x = 20,891,114.37/6,156.52
  6. Step 6: Final answer
    x = 3,393.33

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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.