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Finding the Fourth Proportional to 9,757.90, 14,645.07 and 4,215.44

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Solution

The fourth proportional to 9,757.90, 14,645.07 and 4,215.44 is: 6,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.90 : 14,645.07 = 4,215.44 : x
  2. Step 2: Convert to fraction form
    9,757.90/14,645.07 = 4,215.44/x
  3. Step 3: Cross multiply
    9,757.90x = 14,645.07 × 4,215.44
  4. Step 4: Simplify right side
    9,757.90x = 61,735,450.49
  5. Step 5: Solve for x
    x = 61,735,450.49/9,757.90
  6. Step 6: Final answer
    x = 6,326.71

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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.