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Finding the Fourth Proportional to 9,821.85, 13,553.90 and 5,514.82

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Solution

The fourth proportional to 9,821.85, 13,553.90 and 5,514.82 is: 7,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.85 : 13,553.90 = 5,514.82 : x
  2. Step 2: Convert to fraction form
    9,821.85/13,553.90 = 5,514.82/x
  3. Step 3: Cross multiply
    9,821.85x = 13,553.90 × 5,514.82
  4. Step 4: Simplify right side
    9,821.85x = 74,747,354.26
  5. Step 5: Solve for x
    x = 74,747,354.26/9,821.85
  6. Step 6: Final answer
    x = 7,610.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.