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Finding the Fourth Proportional to 9,590.92, 13,232.29 and 5,609.22

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Solution

The fourth proportional to 9,590.92, 13,232.29 and 5,609.22 is: 7,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.92 : 13,232.29 = 5,609.22 : x
  2. Step 2: Convert to fraction form
    9,590.92/13,232.29 = 5,609.22/x
  3. Step 3: Cross multiply
    9,590.92x = 13,232.29 × 5,609.22
  4. Step 4: Simplify right side
    9,590.92x = 74,222,825.71
  5. Step 5: Solve for x
    x = 74,222,825.71/9,590.92
  6. Step 6: Final answer
    x = 7,738.86

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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.