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Finding the Fourth Proportional to 9,456.72, 14,182.08 and 3,215.62

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Solution

The fourth proportional to 9,456.72, 14,182.08 and 3,215.62 is: 4,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.72 : 14,182.08 = 3,215.62 : x
  2. Step 2: Convert to fraction form
    9,456.72/14,182.08 = 3,215.62/x
  3. Step 3: Cross multiply
    9,456.72x = 14,182.08 × 3,215.62
  4. Step 4: Simplify right side
    9,456.72x = 45,604,180.09
  5. Step 5: Solve for x
    x = 45,604,180.09/9,456.72
  6. Step 6: Final answer
    x = 4,822.41

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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.