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Finding the Fourth Proportional to 9,358.73, 12,914.07 and 5,380.42

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Solution

The fourth proportional to 9,358.73, 12,914.07 and 5,380.42 is: 7,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.73 : 12,914.07 = 5,380.42 : x
  2. Step 2: Convert to fraction form
    9,358.73/12,914.07 = 5,380.42/x
  3. Step 3: Cross multiply
    9,358.73x = 12,914.07 × 5,380.42
  4. Step 4: Simplify right side
    9,358.73x = 69,483,055.94
  5. Step 5: Solve for x
    x = 69,483,055.94/9,358.73
  6. Step 6: Final answer
    x = 7,424.41

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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.