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Finding the Fourth Proportional to 9,590.44, 13,227.98 and 6,402.13

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Solution

The fourth proportional to 9,590.44, 13,227.98 and 6,402.13 is: 8,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.44 : 13,227.98 = 6,402.13 : x
  2. Step 2: Convert to fraction form
    9,590.44/13,227.98 = 6,402.13/x
  3. Step 3: Cross multiply
    9,590.44x = 13,227.98 × 6,402.13
  4. Step 4: Simplify right side
    9,590.44x = 84,687,247.60
  5. Step 5: Solve for x
    x = 84,687,247.60/9,590.44
  6. Step 6: Final answer
    x = 8,830.38

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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.