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Finding the Fourth Proportional to 9,309.84, 12,847.46 and 5,060.83

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Solution

The fourth proportional to 9,309.84, 12,847.46 and 5,060.83 is: 6,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.84 : 12,847.46 = 5,060.83 : x
  2. Step 2: Convert to fraction form
    9,309.84/12,847.46 = 5,060.83/x
  3. Step 3: Cross multiply
    9,309.84x = 12,847.46 × 5,060.83
  4. Step 4: Simplify right side
    9,309.84x = 65,018,806.13
  5. Step 5: Solve for x
    x = 65,018,806.13/9,309.84
  6. Step 6: Final answer
    x = 6,983.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.