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Finding the Fourth Proportional to 9,935.76, 14,903.64 and 3,694.96

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Solution

The fourth proportional to 9,935.76, 14,903.64 and 3,694.96 is: 5,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.76 : 14,903.64 = 3,694.96 : x
  2. Step 2: Convert to fraction form
    9,935.76/14,903.64 = 3,694.96/x
  3. Step 3: Cross multiply
    9,935.76x = 14,903.64 × 3,694.96
  4. Step 4: Simplify right side
    9,935.76x = 55,068,309.35
  5. Step 5: Solve for x
    x = 55,068,309.35/9,935.76
  6. Step 6: Final answer
    x = 5,542.44

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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.