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Finding the Fourth Proportional to 9,856.38, 14,776.05 and 6,742.47

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Solution

The fourth proportional to 9,856.38, 14,776.05 and 6,742.47 is: 10,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.38 : 14,776.05 = 6,742.47 : x
  2. Step 2: Convert to fraction form
    9,856.38/14,776.05 = 6,742.47/x
  3. Step 3: Cross multiply
    9,856.38x = 14,776.05 × 6,742.47
  4. Step 4: Simplify right side
    9,856.38x = 99,627,073.84
  5. Step 5: Solve for x
    x = 99,627,073.84/9,856.38
  6. Step 6: Final answer
    x = 10,107.88

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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.