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Finding the Fourth Proportional to 9,753.72, 14,605.68 and 5,366.36

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Solution

The fourth proportional to 9,753.72, 14,605.68 and 5,366.36 is: 8,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.72 : 14,605.68 = 5,366.36 : x
  2. Step 2: Convert to fraction form
    9,753.72/14,605.68 = 5,366.36/x
  3. Step 3: Cross multiply
    9,753.72x = 14,605.68 × 5,366.36
  4. Step 4: Simplify right side
    9,753.72x = 78,379,336.92
  5. Step 5: Solve for x
    x = 78,379,336.92/9,753.72
  6. Step 6: Final answer
    x = 8,035.84

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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.