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Finding the Fourth Proportional to 9,223, 12,728.10 and 5,499.16

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Solution

The fourth proportional to 9,223, 12,728.10 and 5,499.16 is: 7,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223 : 12,728.10 = 5,499.16 : x
  2. Step 2: Convert to fraction form
    9,223/12,728.10 = 5,499.16/x
  3. Step 3: Cross multiply
    9,223x = 12,728.10 × 5,499.16
  4. Step 4: Simplify right side
    9,223x = 69,993,858.40
  5. Step 5: Solve for x
    x = 69,993,858.40/9,223
  6. Step 6: Final answer
    x = 7,589.06

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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.