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Finding the Fourth Proportional to 9,922.18, 13,690.47 and 5,728

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Solution

The fourth proportional to 9,922.18, 13,690.47 and 5,728 is: 7,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.18 : 13,690.47 = 5,728 : x
  2. Step 2: Convert to fraction form
    9,922.18/13,690.47 = 5,728/x
  3. Step 3: Cross multiply
    9,922.18x = 13,690.47 × 5,728
  4. Step 4: Simplify right side
    9,922.18x = 78,419,012.16
  5. Step 5: Solve for x
    x = 78,419,012.16/9,922.18
  6. Step 6: Final answer
    x = 7,903.41

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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.