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Finding the Fourth Proportional to 9,967.49, 13,754.42 and 5,490.98

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Solution

The fourth proportional to 9,967.49, 13,754.42 and 5,490.98 is: 7,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.49 : 13,754.42 = 5,490.98 : x
  2. Step 2: Convert to fraction form
    9,967.49/13,754.42 = 5,490.98/x
  3. Step 3: Cross multiply
    9,967.49x = 13,754.42 × 5,490.98
  4. Step 4: Simplify right side
    9,967.49x = 75,525,245.13
  5. Step 5: Solve for x
    x = 75,525,245.13/9,967.49
  6. Step 6: Final answer
    x = 7,577.16

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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.