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Finding the Fourth Proportional to 9,407.92, 12,983.12 and 5,216.16

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Solution

The fourth proportional to 9,407.92, 12,983.12 and 5,216.16 is: 7,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.92 : 12,983.12 = 5,216.16 : x
  2. Step 2: Convert to fraction form
    9,407.92/12,983.12 = 5,216.16/x
  3. Step 3: Cross multiply
    9,407.92x = 12,983.12 × 5,216.16
  4. Step 4: Simplify right side
    9,407.92x = 67,722,031.22
  5. Step 5: Solve for x
    x = 67,722,031.22/9,407.92
  6. Step 6: Final answer
    x = 7,198.41

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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.