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Finding the Fourth Proportional to 6,948.02, 9,588.42 and 3,804.14

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Solution

The fourth proportional to 6,948.02, 9,588.42 and 3,804.14 is: 5,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.02 : 9,588.42 = 3,804.14 : x
  2. Step 2: Convert to fraction form
    6,948.02/9,588.42 = 3,804.14/x
  3. Step 3: Cross multiply
    6,948.02x = 9,588.42 × 3,804.14
  4. Step 4: Simplify right side
    6,948.02x = 36,475,692.06
  5. Step 5: Solve for x
    x = 36,475,692.06/6,948.02
  6. Step 6: Final answer
    x = 5,249.80

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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.