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Finding the Fourth Proportional to 9,022.54, 13,533.51 and 3,179

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Solution

The fourth proportional to 9,022.54, 13,533.51 and 3,179 is: 4,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.54 : 13,533.51 = 3,179 : x
  2. Step 2: Convert to fraction form
    9,022.54/13,533.51 = 3,179/x
  3. Step 3: Cross multiply
    9,022.54x = 13,533.51 × 3,179
  4. Step 4: Simplify right side
    9,022.54x = 43,023,028.29
  5. Step 5: Solve for x
    x = 43,023,028.29/9,022.54
  6. Step 6: Final answer
    x = 4,768.39

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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.