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Finding the Fourth Proportional to 6,381.15, 9,551.23 and 3,412.16

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Solution

The fourth proportional to 6,381.15, 9,551.23 and 3,412.16 is: 5,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.15 : 9,551.23 = 3,412.16 : x
  2. Step 2: Convert to fraction form
    6,381.15/9,551.23 = 3,412.16/x
  3. Step 3: Cross multiply
    6,381.15x = 9,551.23 × 3,412.16
  4. Step 4: Simplify right side
    6,381.15x = 32,590,304.49
  5. Step 5: Solve for x
    x = 32,590,304.49/6,381.15
  6. Step 6: Final answer
    x = 5,107.28

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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.