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Finding the Fourth Proportional to 9,640.88, 13,302.99 and 5,663.27

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Solution

The fourth proportional to 9,640.88, 13,302.99 and 5,663.27 is: 7,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.88 : 13,302.99 = 5,663.27 : x
  2. Step 2: Convert to fraction form
    9,640.88/13,302.99 = 5,663.27/x
  3. Step 3: Cross multiply
    9,640.88x = 13,302.99 × 5,663.27
  4. Step 4: Simplify right side
    9,640.88x = 75,338,357.66
  5. Step 5: Solve for x
    x = 75,338,357.66/9,640.88
  6. Step 6: Final answer
    x = 7,814.47

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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.