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Finding the Fourth Proportional to 6,185.62, 9,278.30 and 1,505.65

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Solution

The fourth proportional to 6,185.62, 9,278.30 and 1,505.65 is: 2,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.62 : 9,278.30 = 1,505.65 : x
  2. Step 2: Convert to fraction form
    6,185.62/9,278.30 = 1,505.65/x
  3. Step 3: Cross multiply
    6,185.62x = 9,278.30 × 1,505.65
  4. Step 4: Simplify right side
    6,185.62x = 13,969,872.40
  5. Step 5: Solve for x
    x = 13,969,872.40/6,185.62
  6. Step 6: Final answer
    x = 2,258.44

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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.