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Finding the Fourth Proportional to 6,477.02, 9,708.24 and 2,576.87

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Solution

The fourth proportional to 6,477.02, 9,708.24 and 2,576.87 is: 3,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.02 : 9,708.24 = 2,576.87 : x
  2. Step 2: Convert to fraction form
    6,477.02/9,708.24 = 2,576.87/x
  3. Step 3: Cross multiply
    6,477.02x = 9,708.24 × 2,576.87
  4. Step 4: Simplify right side
    6,477.02x = 25,016,872.41
  5. Step 5: Solve for x
    x = 25,016,872.41/6,477.02
  6. Step 6: Final answer
    x = 3,862.40

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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.