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Finding the Fourth Proportional to 6,804.77, 9,395.99 and 4,538.31

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Solution

The fourth proportional to 6,804.77, 9,395.99 and 4,538.31 is: 6,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.77 : 9,395.99 = 4,538.31 : x
  2. Step 2: Convert to fraction form
    6,804.77/9,395.99 = 4,538.31/x
  3. Step 3: Cross multiply
    6,804.77x = 9,395.99 × 4,538.31
  4. Step 4: Simplify right side
    6,804.77x = 42,641,892.69
  5. Step 5: Solve for x
    x = 42,641,892.69/6,804.77
  6. Step 6: Final answer
    x = 6,266.48

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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.