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Finding the Fourth Proportional to 9,384.24, 14,081.22 and 6,808.44

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Solution

The fourth proportional to 9,384.24, 14,081.22 and 6,808.44 is: 10,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.24 : 14,081.22 = 6,808.44 : x
  2. Step 2: Convert to fraction form
    9,384.24/14,081.22 = 6,808.44/x
  3. Step 3: Cross multiply
    9,384.24x = 14,081.22 × 6,808.44
  4. Step 4: Simplify right side
    9,384.24x = 95,871,141.50
  5. Step 5: Solve for x
    x = 95,871,141.50/9,384.24
  6. Step 6: Final answer
    x = 10,216.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.