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Finding the Fourth Proportional to 6,828.80, 9,426 and 4,311.20

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Solution

The fourth proportional to 6,828.80, 9,426 and 4,311.20 is: 5,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.80 : 9,426 = 4,311.20 : x
  2. Step 2: Convert to fraction form
    6,828.80/9,426 = 4,311.20/x
  3. Step 3: Cross multiply
    6,828.80x = 9,426 × 4,311.20
  4. Step 4: Simplify right side
    6,828.80x = 40,637,371.20
  5. Step 5: Solve for x
    x = 40,637,371.20/6,828.80
  6. Step 6: Final answer
    x = 5,950.88

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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.