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Finding the Fourth Proportional to 9,456.24, 14,165.24 and 4,769.73

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Solution

The fourth proportional to 9,456.24, 14,165.24 and 4,769.73 is: 7,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.24 : 14,165.24 = 4,769.73 : x
  2. Step 2: Convert to fraction form
    9,456.24/14,165.24 = 4,769.73/x
  3. Step 3: Cross multiply
    9,456.24x = 14,165.24 × 4,769.73
  4. Step 4: Simplify right side
    9,456.24x = 67,564,370.19
  5. Step 5: Solve for x
    x = 67,564,370.19/9,456.24
  6. Step 6: Final answer
    x = 7,144.95

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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.