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Finding the Fourth Proportional to 7,193.36, 9,922.56 and 4,394

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Solution

The fourth proportional to 7,193.36, 9,922.56 and 4,394 is: 6,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.36 : 9,922.56 = 4,394 : x
  2. Step 2: Convert to fraction form
    7,193.36/9,922.56 = 4,394/x
  3. Step 3: Cross multiply
    7,193.36x = 9,922.56 × 4,394
  4. Step 4: Simplify right side
    7,193.36x = 43,599,728.64
  5. Step 5: Solve for x
    x = 43,599,728.64/7,193.36
  6. Step 6: Final answer
    x = 6,061.11

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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.