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Finding the Fourth Proportional to 9,163.84, 12,650.40 and 5,853.76

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Solution

The fourth proportional to 9,163.84, 12,650.40 and 5,853.76 is: 8,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.84 : 12,650.40 = 5,853.76 : x
  2. Step 2: Convert to fraction form
    9,163.84/12,650.40 = 5,853.76/x
  3. Step 3: Cross multiply
    9,163.84x = 12,650.40 × 5,853.76
  4. Step 4: Simplify right side
    9,163.84x = 74,052,405.50
  5. Step 5: Solve for x
    x = 74,052,405.50/9,163.84
  6. Step 6: Final answer
    x = 8,080.94

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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.