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Finding the Fourth Proportional to 6,152.63, 9,232.11 and 3,381.48

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Solution

The fourth proportional to 6,152.63, 9,232.11 and 3,381.48 is: 5,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.63 : 9,232.11 = 3,381.48 : x
  2. Step 2: Convert to fraction form
    6,152.63/9,232.11 = 3,381.48/x
  3. Step 3: Cross multiply
    6,152.63x = 9,232.11 × 3,381.48
  4. Step 4: Simplify right side
    6,152.63x = 31,218,195.32
  5. Step 5: Solve for x
    x = 31,218,195.32/6,152.63
  6. Step 6: Final answer
    x = 5,073.96

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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.