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Finding the Fourth Proportional to 9,643.44, 14,462.28 and 3,486

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Solution

The fourth proportional to 9,643.44, 14,462.28 and 3,486 is: 5,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.44 : 14,462.28 = 3,486 : x
  2. Step 2: Convert to fraction form
    9,643.44/14,462.28 = 3,486/x
  3. Step 3: Cross multiply
    9,643.44x = 14,462.28 × 3,486
  4. Step 4: Simplify right side
    9,643.44x = 50,415,508.08
  5. Step 5: Solve for x
    x = 50,415,508.08/9,643.44
  6. Step 6: Final answer
    x = 5,227.96

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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.