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Finding the Fourth Proportional to 9,576.32, 14,367 and 3,002.72

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Solution

The fourth proportional to 9,576.32, 14,367 and 3,002.72 is: 4,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.32 : 14,367 = 3,002.72 : x
  2. Step 2: Convert to fraction form
    9,576.32/14,367 = 3,002.72/x
  3. Step 3: Cross multiply
    9,576.32x = 14,367 × 3,002.72
  4. Step 4: Simplify right side
    9,576.32x = 43,140,078.24
  5. Step 5: Solve for x
    x = 43,140,078.24/9,576.32
  6. Step 6: Final answer
    x = 4,504.87

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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.