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Finding the Fourth Proportional to 6,991.16, 9,648.00 and 3,804.66

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Solution

The fourth proportional to 6,991.16, 9,648.00 and 3,804.66 is: 5,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.16 : 9,648.00 = 3,804.66 : x
  2. Step 2: Convert to fraction form
    6,991.16/9,648.00 = 3,804.66/x
  3. Step 3: Cross multiply
    6,991.16x = 9,648.00 × 3,804.66
  4. Step 4: Simplify right side
    6,991.16x = 36,707,338.02
  5. Step 5: Solve for x
    x = 36,707,338.02/6,991.16
  6. Step 6: Final answer
    x = 5,250.54

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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.