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Finding the Fourth Proportional to 9,665.38, 13,333.71 and 6,832.78

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Solution

The fourth proportional to 9,665.38, 13,333.71 and 6,832.78 is: 9,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.38 : 13,333.71 = 6,832.78 : x
  2. Step 2: Convert to fraction form
    9,665.38/13,333.71 = 6,832.78/x
  3. Step 3: Cross multiply
    9,665.38x = 13,333.71 × 6,832.78
  4. Step 4: Simplify right side
    9,665.38x = 91,106,307.01
  5. Step 5: Solve for x
    x = 91,106,307.01/9,665.38
  6. Step 6: Final answer
    x = 9,426.05

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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.