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Finding the Fourth Proportional to 6,381.27, 9,570.78 and 3,093.48

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Solution

The fourth proportional to 6,381.27, 9,570.78 and 3,093.48 is: 4,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.27 : 9,570.78 = 3,093.48 : x
  2. Step 2: Convert to fraction form
    6,381.27/9,570.78 = 3,093.48/x
  3. Step 3: Cross multiply
    6,381.27x = 9,570.78 × 3,093.48
  4. Step 4: Simplify right side
    6,381.27x = 29,607,016.51
  5. Step 5: Solve for x
    x = 29,607,016.51/6,381.27
  6. Step 6: Final answer
    x = 4,639.67

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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.