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Finding the Fourth Proportional to 6,590.33, 9,887.78 and 4,122.21

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Solution

The fourth proportional to 6,590.33, 9,887.78 and 4,122.21 is: 6,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.33 : 9,887.78 = 4,122.21 : x
  2. Step 2: Convert to fraction form
    6,590.33/9,887.78 = 4,122.21/x
  3. Step 3: Cross multiply
    6,590.33x = 9,887.78 × 4,122.21
  4. Step 4: Simplify right side
    6,590.33x = 40,759,537.52
  5. Step 5: Solve for x
    x = 40,759,537.52/6,590.33
  6. Step 6: Final answer
    x = 6,184.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.