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Finding the Fourth Proportional to 6,804.71, 9,389.31 and 3,820.67

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Solution

The fourth proportional to 6,804.71, 9,389.31 and 3,820.67 is: 5,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.71 : 9,389.31 = 3,820.67 : x
  2. Step 2: Convert to fraction form
    6,804.71/9,389.31 = 3,820.67/x
  3. Step 3: Cross multiply
    6,804.71x = 9,389.31 × 3,820.67
  4. Step 4: Simplify right side
    6,804.71x = 35,873,455.04
  5. Step 5: Solve for x
    x = 35,873,455.04/6,804.71
  6. Step 6: Final answer
    x = 5,271.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.