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Finding the Fourth Proportional to 9,590.82, 13,235.38 and 5,611.16

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Solution

The fourth proportional to 9,590.82, 13,235.38 and 5,611.16 is: 7,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.82 : 13,235.38 = 5,611.16 : x
  2. Step 2: Convert to fraction form
    9,590.82/13,235.38 = 5,611.16/x
  3. Step 3: Cross multiply
    9,590.82x = 13,235.38 × 5,611.16
  4. Step 4: Simplify right side
    9,590.82x = 74,265,834.84
  5. Step 5: Solve for x
    x = 74,265,834.84/9,590.82
  6. Step 6: Final answer
    x = 7,743.43

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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.