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Finding the Fourth Proportional to 6,553.63, 9,830.34 and 2,393.62

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Solution

The fourth proportional to 6,553.63, 9,830.34 and 2,393.62 is: 3,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.63 : 9,830.34 = 2,393.62 : x
  2. Step 2: Convert to fraction form
    6,553.63/9,830.34 = 2,393.62/x
  3. Step 3: Cross multiply
    6,553.63x = 9,830.34 × 2,393.62
  4. Step 4: Simplify right side
    6,553.63x = 23,530,098.43
  5. Step 5: Solve for x
    x = 23,530,098.43/6,553.63
  6. Step 6: Final answer
    x = 3,590.39

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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.