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Finding the Fourth Proportional to 9,122.14, 13,678.96 and 4,738.42

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Solution

The fourth proportional to 9,122.14, 13,678.96 and 4,738.42 is: 7,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.14 : 13,678.96 = 4,738.42 : x
  2. Step 2: Convert to fraction form
    9,122.14/13,678.96 = 4,738.42/x
  3. Step 3: Cross multiply
    9,122.14x = 13,678.96 × 4,738.42
  4. Step 4: Simplify right side
    9,122.14x = 64,816,599.75
  5. Step 5: Solve for x
    x = 64,816,599.75/9,122.14
  6. Step 6: Final answer
    x = 7,105.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.