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Finding the Fourth Proportional to 6,804.85, 9,390.45 and 3,820.81

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Solution

The fourth proportional to 6,804.85, 9,390.45 and 3,820.81 is: 5,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.85 : 9,390.45 = 3,820.81 : x
  2. Step 2: Convert to fraction form
    6,804.85/9,390.45 = 3,820.81/x
  3. Step 3: Cross multiply
    6,804.85x = 9,390.45 × 3,820.81
  4. Step 4: Simplify right side
    6,804.85x = 35,879,125.26
  5. Step 5: Solve for x
    x = 35,879,125.26/6,804.85
  6. Step 6: Final answer
    x = 5,272.58

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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.