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Finding the Fourth Proportional to 6,236.41, 9,356.10 and 3,314.08

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Solution

The fourth proportional to 6,236.41, 9,356.10 and 3,314.08 is: 4,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.41 : 9,356.10 = 3,314.08 : x
  2. Step 2: Convert to fraction form
    6,236.41/9,356.10 = 3,314.08/x
  3. Step 3: Cross multiply
    6,236.41x = 9,356.10 × 3,314.08
  4. Step 4: Simplify right side
    6,236.41x = 31,006,863.89
  5. Step 5: Solve for x
    x = 31,006,863.89/6,236.41
  6. Step 6: Final answer
    x = 4,971.91

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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.