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Finding the Fourth Proportional to 9,846.02, 14,754.43 and 8,103.40

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Solution

The fourth proportional to 9,846.02, 14,754.43 and 8,103.40 is: 12,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.02 : 14,754.43 = 8,103.40 : x
  2. Step 2: Convert to fraction form
    9,846.02/14,754.43 = 8,103.40/x
  3. Step 3: Cross multiply
    9,846.02x = 14,754.43 × 8,103.40
  4. Step 4: Simplify right side
    9,846.02x = 119,560,990.92
  5. Step 5: Solve for x
    x = 119,560,990.92/9,846.02
  6. Step 6: Final answer
    x = 12,143.08

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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.