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Finding the Fourth Proportional to 6,590.62, 9,930.37 and 5,446.23

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Solution

The fourth proportional to 6,590.62, 9,930.37 and 5,446.23 is: 8,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.62 : 9,930.37 = 5,446.23 : x
  2. Step 2: Convert to fraction form
    6,590.62/9,930.37 = 5,446.23/x
  3. Step 3: Cross multiply
    6,590.62x = 9,930.37 × 5,446.23
  4. Step 4: Simplify right side
    6,590.62x = 54,083,079.01
  5. Step 5: Solve for x
    x = 54,083,079.01/6,590.62
  6. Step 6: Final answer
    x = 8,206.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.