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Finding the Fourth Proportional to 6,138.25, 9,195.04 and 4,660.09

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Solution

The fourth proportional to 6,138.25, 9,195.04 and 4,660.09 is: 6,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.25 : 9,195.04 = 4,660.09 : x
  2. Step 2: Convert to fraction form
    6,138.25/9,195.04 = 4,660.09/x
  3. Step 3: Cross multiply
    6,138.25x = 9,195.04 × 4,660.09
  4. Step 4: Simplify right side
    6,138.25x = 42,849,713.95
  5. Step 5: Solve for x
    x = 42,849,713.95/6,138.25
  6. Step 6: Final answer
    x = 6,980.77

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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.