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Finding the Fourth Proportional to 6,404.99, 9,605.19 and 2,243.93

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Solution

The fourth proportional to 6,404.99, 9,605.19 and 2,243.93 is: 3,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.99 : 9,605.19 = 2,243.93 : x
  2. Step 2: Convert to fraction form
    6,404.99/9,605.19 = 2,243.93/x
  3. Step 3: Cross multiply
    6,404.99x = 9,605.19 × 2,243.93
  4. Step 4: Simplify right side
    6,404.99x = 21,553,374.00
  5. Step 5: Solve for x
    x = 21,553,374.00/6,404.99
  6. Step 6: Final answer
    x = 3,365.09

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Why These Related Problems?

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