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Finding the Fourth Proportional to 6,576.36, 9,866.58 and 3,946.80

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Solution

The fourth proportional to 6,576.36, 9,866.58 and 3,946.80 is: 5,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.36 : 9,866.58 = 3,946.80 : x
  2. Step 2: Convert to fraction form
    6,576.36/9,866.58 = 3,946.80/x
  3. Step 3: Cross multiply
    6,576.36x = 9,866.58 × 3,946.80
  4. Step 4: Simplify right side
    6,576.36x = 38,941,417.94
  5. Step 5: Solve for x
    x = 38,941,417.94/6,576.36
  6. Step 6: Final answer
    x = 5,921.42

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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.