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Finding the Fourth Proportional to 9,590.52, 13,234.88 and 5,398.84

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Solution

The fourth proportional to 9,590.52, 13,234.88 and 5,398.84 is: 7,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.52 : 13,234.88 = 5,398.84 : x
  2. Step 2: Convert to fraction form
    9,590.52/13,234.88 = 5,398.84/x
  3. Step 3: Cross multiply
    9,590.52x = 13,234.88 × 5,398.84
  4. Step 4: Simplify right side
    9,590.52x = 71,452,999.54
  5. Step 5: Solve for x
    x = 71,452,999.54/9,590.52
  6. Step 6: Final answer
    x = 7,450.38

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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.