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Finding the Fourth Proportional to 11,309.56, 16,948.53 and 9,634.96

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Solution

The fourth proportional to 11,309.56, 16,948.53 and 9,634.96 is: 14,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.56 : 16,948.53 = 9,634.96 : x
  2. Step 2: Convert to fraction form
    11,309.56/16,948.53 = 9,634.96/x
  3. Step 3: Cross multiply
    11,309.56x = 16,948.53 × 9,634.96
  4. Step 4: Simplify right side
    11,309.56x = 163,298,275.69
  5. Step 5: Solve for x
    x = 163,298,275.69/11,309.56
  6. Step 6: Final answer
    x = 14,438.97

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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.