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Finding the Fourth Proportional to 9,856.08, 13,606.38 and 6,274.68

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Solution

The fourth proportional to 9,856.08, 13,606.38 and 6,274.68 is: 8,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.08 : 13,606.38 = 6,274.68 : x
  2. Step 2: Convert to fraction form
    9,856.08/13,606.38 = 6,274.68/x
  3. Step 3: Cross multiply
    9,856.08x = 13,606.38 × 6,274.68
  4. Step 4: Simplify right side
    9,856.08x = 85,375,680.46
  5. Step 5: Solve for x
    x = 85,375,680.46/9,856.08
  6. Step 6: Final answer
    x = 8,662.23

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Why These Related Problems?

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