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Finding the Fourth Proportional to 9,606.71, 14,414.30 and 4,063.88

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Solution

The fourth proportional to 9,606.71, 14,414.30 and 4,063.88 is: 6,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.71 : 14,414.30 = 4,063.88 : x
  2. Step 2: Convert to fraction form
    9,606.71/14,414.30 = 4,063.88/x
  3. Step 3: Cross multiply
    9,606.71x = 14,414.30 × 4,063.88
  4. Step 4: Simplify right side
    9,606.71x = 58,577,985.48
  5. Step 5: Solve for x
    x = 58,577,985.48/9,606.71
  6. Step 6: Final answer
    x = 6,097.61

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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.