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Finding the Fourth Proportional to 6,576.94, 9,855.69 and 4,377.70

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Solution

The fourth proportional to 6,576.94, 9,855.69 and 4,377.70 is: 6,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.94 : 9,855.69 = 4,377.70 : x
  2. Step 2: Convert to fraction form
    6,576.94/9,855.69 = 4,377.70/x
  3. Step 3: Cross multiply
    6,576.94x = 9,855.69 × 4,377.70
  4. Step 4: Simplify right side
    6,576.94x = 43,145,254.11
  5. Step 5: Solve for x
    x = 43,145,254.11/6,576.94
  6. Step 6: Final answer
    x = 6,560.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.