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Finding the Fourth Proportional to 6,185.96, 9,278.82 and 1,505.90

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Solution

The fourth proportional to 6,185.96, 9,278.82 and 1,505.90 is: 2,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.96 : 9,278.82 = 1,505.90 : x
  2. Step 2: Convert to fraction form
    6,185.96/9,278.82 = 1,505.90/x
  3. Step 3: Cross multiply
    6,185.96x = 9,278.82 × 1,505.90
  4. Step 4: Simplify right side
    6,185.96x = 13,972,975.04
  5. Step 5: Solve for x
    x = 13,972,975.04/6,185.96
  6. Step 6: Final answer
    x = 2,258.82

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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.