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Finding the Fourth Proportional to 9,793.42, 13,514.68 and 5,317.04

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Solution

The fourth proportional to 9,793.42, 13,514.68 and 5,317.04 is: 7,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.42 : 13,514.68 = 5,317.04 : x
  2. Step 2: Convert to fraction form
    9,793.42/13,514.68 = 5,317.04/x
  3. Step 3: Cross multiply
    9,793.42x = 13,514.68 × 5,317.04
  4. Step 4: Simplify right side
    9,793.42x = 71,858,094.15
  5. Step 5: Solve for x
    x = 71,858,094.15/9,793.42
  6. Step 6: Final answer
    x = 7,337.39

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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.