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Finding the Fourth Proportional to 9,448.25, 14,177.86 and 5,231.93

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Solution

The fourth proportional to 9,448.25, 14,177.86 and 5,231.93 is: 7,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.25 : 14,177.86 = 5,231.93 : x
  2. Step 2: Convert to fraction form
    9,448.25/14,177.86 = 5,231.93/x
  3. Step 3: Cross multiply
    9,448.25x = 14,177.86 × 5,231.93
  4. Step 4: Simplify right side
    9,448.25x = 74,177,487.10
  5. Step 5: Solve for x
    x = 74,177,487.10/9,448.25
  6. Step 6: Final answer
    x = 7,850.93

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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.