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Finding the Fourth Proportional to 6,081.90, 9,122.84 and 1,464.90

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Solution

The fourth proportional to 6,081.90, 9,122.84 and 1,464.90 is: 2,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,081.90 : 9,122.84 = 1,464.90 : x
  2. Step 2: Convert to fraction form
    6,081.90/9,122.84 = 1,464.90/x
  3. Step 3: Cross multiply
    6,081.90x = 9,122.84 × 1,464.90
  4. Step 4: Simplify right side
    6,081.90x = 13,364,012.27
  5. Step 5: Solve for x
    x = 13,364,012.27/6,081.90
  6. Step 6: Final answer
    x = 2,197.34

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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.