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Finding the Fourth Proportional to 6,215.85, 9,325.31 and 5,107.14

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Solution

The fourth proportional to 6,215.85, 9,325.31 and 5,107.14 is: 7,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.85 : 9,325.31 = 5,107.14 : x
  2. Step 2: Convert to fraction form
    6,215.85/9,325.31 = 5,107.14/x
  3. Step 3: Cross multiply
    6,215.85x = 9,325.31 × 5,107.14
  4. Step 4: Simplify right side
    6,215.85x = 47,625,638.18
  5. Step 5: Solve for x
    x = 47,625,638.18/6,215.85
  6. Step 6: Final answer
    x = 7,661.97

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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.