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Finding the Fourth Proportional to 6,804.48, 9,387.75 and 4,286.82

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Solution

The fourth proportional to 6,804.48, 9,387.75 and 4,286.82 is: 5,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.48 : 9,387.75 = 4,286.82 : x
  2. Step 2: Convert to fraction form
    6,804.48/9,387.75 = 4,286.82/x
  3. Step 3: Cross multiply
    6,804.48x = 9,387.75 × 4,286.82
  4. Step 4: Simplify right side
    6,804.48x = 40,243,594.46
  5. Step 5: Solve for x
    x = 40,243,594.46/6,804.48
  6. Step 6: Final answer
    x = 5,914.28

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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.