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Finding the Fourth Proportional to 6,808.19, 9,395.29 and 3,977.51

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Solution

The fourth proportional to 6,808.19, 9,395.29 and 3,977.51 is: 5,488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.19 : 9,395.29 = 3,977.51 : x
  2. Step 2: Convert to fraction form
    6,808.19/9,395.29 = 3,977.51/x
  3. Step 3: Cross multiply
    6,808.19x = 9,395.29 × 3,977.51
  4. Step 4: Simplify right side
    6,808.19x = 37,369,859.93
  5. Step 5: Solve for x
    x = 37,369,859.93/6,808.19
  6. Step 6: Final answer
    x = 5,488.96

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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.