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Finding the Fourth Proportional to 9,805.38, 13,531.32 and 5,329.05

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Solution

The fourth proportional to 9,805.38, 13,531.32 and 5,329.05 is: 7,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.38 : 13,531.32 = 5,329.05 : x
  2. Step 2: Convert to fraction form
    9,805.38/13,531.32 = 5,329.05/x
  3. Step 3: Cross multiply
    9,805.38x = 13,531.32 × 5,329.05
  4. Step 4: Simplify right side
    9,805.38x = 72,109,080.85
  5. Step 5: Solve for x
    x = 72,109,080.85/9,805.38
  6. Step 6: Final answer
    x = 7,354.03

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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.