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Finding the Fourth Proportional to 9,663.97, 13,342.67 and 7,421.82

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Solution

The fourth proportional to 9,663.97, 13,342.67 and 7,421.82 is: 10,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.97 : 13,342.67 = 7,421.82 : x
  2. Step 2: Convert to fraction form
    9,663.97/13,342.67 = 7,421.82/x
  3. Step 3: Cross multiply
    9,663.97x = 13,342.67 × 7,421.82
  4. Step 4: Simplify right side
    9,663.97x = 99,026,791.24
  5. Step 5: Solve for x
    x = 99,026,791.24/9,663.97
  6. Step 6: Final answer
    x = 10,247.01

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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.