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Finding the Fourth Proportional to 9,699.82, 13,384.62 and 5,450.31

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Solution

The fourth proportional to 9,699.82, 13,384.62 and 5,450.31 is: 7,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.82 : 13,384.62 = 5,450.31 : x
  2. Step 2: Convert to fraction form
    9,699.82/13,384.62 = 5,450.31/x
  3. Step 3: Cross multiply
    9,699.82x = 13,384.62 × 5,450.31
  4. Step 4: Simplify right side
    9,699.82x = 72,950,328.23
  5. Step 5: Solve for x
    x = 72,950,328.23/9,699.82
  6. Step 6: Final answer
    x = 7,520.79

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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.