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Finding the Fourth Proportional to 9,666.38, 13,335.09 and 6,833.78

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Solution

The fourth proportional to 9,666.38, 13,335.09 and 6,833.78 is: 9,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.38 : 13,335.09 = 6,833.78 : x
  2. Step 2: Convert to fraction form
    9,666.38/13,335.09 = 6,833.78/x
  3. Step 3: Cross multiply
    9,666.38x = 13,335.09 × 6,833.78
  4. Step 4: Simplify right side
    9,666.38x = 91,129,071.34
  5. Step 5: Solve for x
    x = 91,129,071.34/9,666.38
  6. Step 6: Final answer
    x = 9,427.42

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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.