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Finding the Fourth Proportional to 9,362.69, 12,921.32 and 5,171.75

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Solution

The fourth proportional to 9,362.69, 12,921.32 and 5,171.75 is: 7,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.69 : 12,921.32 = 5,171.75 : x
  2. Step 2: Convert to fraction form
    9,362.69/12,921.32 = 5,171.75/x
  3. Step 3: Cross multiply
    9,362.69x = 12,921.32 × 5,171.75
  4. Step 4: Simplify right side
    9,362.69x = 66,825,836.71
  5. Step 5: Solve for x
    x = 66,825,836.71/9,362.69
  6. Step 6: Final answer
    x = 7,137.46

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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.