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Finding the Fourth Proportional to 6,185.41, 9,278.19 and 3,411.55

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Solution

The fourth proportional to 6,185.41, 9,278.19 and 3,411.55 is: 5,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.41 : 9,278.19 = 3,411.55 : x
  2. Step 2: Convert to fraction form
    6,185.41/9,278.19 = 3,411.55/x
  3. Step 3: Cross multiply
    6,185.41x = 9,278.19 × 3,411.55
  4. Step 4: Simplify right side
    6,185.41x = 31,653,009.09
  5. Step 5: Solve for x
    x = 31,653,009.09/6,185.41
  6. Step 6: Final answer
    x = 5,117.37

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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.