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Finding the Fourth Proportional to 9,911.24, 13,677.94 and 5,663

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Solution

The fourth proportional to 9,911.24, 13,677.94 and 5,663 is: 7,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.24 : 13,677.94 = 5,663 : x
  2. Step 2: Convert to fraction form
    9,911.24/13,677.94 = 5,663/x
  3. Step 3: Cross multiply
    9,911.24x = 13,677.94 × 5,663
  4. Step 4: Simplify right side
    9,911.24x = 77,458,174.22
  5. Step 5: Solve for x
    x = 77,458,174.22/9,911.24
  6. Step 6: Final answer
    x = 7,815.19

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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.