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Finding the Fourth Proportional to 11,308.62, 16,947.12 and 9,634.02

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Solution

The fourth proportional to 11,308.62, 16,947.12 and 9,634.02 is: 14,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.62 : 16,947.12 = 9,634.02 : x
  2. Step 2: Convert to fraction form
    11,308.62/16,947.12 = 9,634.02/x
  3. Step 3: Cross multiply
    11,308.62x = 16,947.12 × 9,634.02
  4. Step 4: Simplify right side
    11,308.62x = 163,268,808.29
  5. Step 5: Solve for x
    x = 163,268,808.29/11,308.62
  6. Step 6: Final answer
    x = 14,437.56

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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.