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Finding the Fourth Proportional to 9,806.84, 14,712.16 and 3,234.92

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Solution

The fourth proportional to 9,806.84, 14,712.16 and 3,234.92 is: 4,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.84 : 14,712.16 = 3,234.92 : x
  2. Step 2: Convert to fraction form
    9,806.84/14,712.16 = 3,234.92/x
  3. Step 3: Cross multiply
    9,806.84x = 14,712.16 × 3,234.92
  4. Step 4: Simplify right side
    9,806.84x = 47,592,660.63
  5. Step 5: Solve for x
    x = 47,592,660.63/9,806.84
  6. Step 6: Final answer
    x = 4,853.01

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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.