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Finding the Fourth Proportional to 9,793.82, 13,511.07 and 6,606.08

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Solution

The fourth proportional to 9,793.82, 13,511.07 and 6,606.08 is: 9,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.82 : 13,511.07 = 6,606.08 : x
  2. Step 2: Convert to fraction form
    9,793.82/13,511.07 = 6,606.08/x
  3. Step 3: Cross multiply
    9,793.82x = 13,511.07 × 6,606.08
  4. Step 4: Simplify right side
    9,793.82x = 89,255,209.31
  5. Step 5: Solve for x
    x = 89,255,209.31/9,793.82
  6. Step 6: Final answer
    x = 9,113.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.