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Finding the Fourth Proportional to 6,365.69, 9,496.85 and 6,021.23

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Solution

The fourth proportional to 6,365.69, 9,496.85 and 6,021.23 is: 8,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.69 : 9,496.85 = 6,021.23 : x
  2. Step 2: Convert to fraction form
    6,365.69/9,496.85 = 6,021.23/x
  3. Step 3: Cross multiply
    6,365.69x = 9,496.85 × 6,021.23
  4. Step 4: Simplify right side
    6,365.69x = 57,182,718.13
  5. Step 5: Solve for x
    x = 57,182,718.13/6,365.69
  6. Step 6: Final answer
    x = 8,982.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.