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Finding the Fourth Proportional to 6,081.78, 9,122.68 and 1,464.78

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Solution

The fourth proportional to 6,081.78, 9,122.68 and 1,464.78 is: 2,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,081.78 : 9,122.68 = 1,464.78 : x
  2. Step 2: Convert to fraction form
    6,081.78/9,122.68 = 1,464.78/x
  3. Step 3: Cross multiply
    6,081.78x = 9,122.68 × 1,464.78
  4. Step 4: Simplify right side
    6,081.78x = 13,362,719.21
  5. Step 5: Solve for x
    x = 13,362,719.21/6,081.78
  6. Step 6: Final answer
    x = 2,197.17

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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.