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Finding the Fourth Proportional to 6,301.84, 8,692.92 and 4,311.28

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Solution

The fourth proportional to 6,301.84, 8,692.92 and 4,311.28 is: 5,947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.84 : 8,692.92 = 4,311.28 : x
  2. Step 2: Convert to fraction form
    6,301.84/8,692.92 = 4,311.28/x
  3. Step 3: Cross multiply
    6,301.84x = 8,692.92 × 4,311.28
  4. Step 4: Simplify right side
    6,301.84x = 37,477,612.14
  5. Step 5: Solve for x
    x = 37,477,612.14/6,301.84
  6. Step 6: Final answer
    x = 5,947.09

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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.