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Finding the Fourth Proportional to 9,754.24, 14,630.10 and 5,753.92

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Solution

The fourth proportional to 9,754.24, 14,630.10 and 5,753.92 is: 8,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.24 : 14,630.10 = 5,753.92 : x
  2. Step 2: Convert to fraction form
    9,754.24/14,630.10 = 5,753.92/x
  3. Step 3: Cross multiply
    9,754.24x = 14,630.10 × 5,753.92
  4. Step 4: Simplify right side
    9,754.24x = 84,180,424.99
  5. Step 5: Solve for x
    x = 84,180,424.99/9,754.24
  6. Step 6: Final answer
    x = 8,630.14

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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.