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Finding the Fourth Proportional to 6,819.44, 9,411.72 and 4,024.88

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Solution

The fourth proportional to 6,819.44, 9,411.72 and 4,024.88 is: 5,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.44 : 9,411.72 = 4,024.88 : x
  2. Step 2: Convert to fraction form
    6,819.44/9,411.72 = 4,024.88/x
  3. Step 3: Cross multiply
    6,819.44x = 9,411.72 × 4,024.88
  4. Step 4: Simplify right side
    6,819.44x = 37,881,043.59
  5. Step 5: Solve for x
    x = 37,881,043.59/6,819.44
  6. Step 6: Final answer
    x = 5,554.86

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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.