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Finding the Fourth Proportional to 9,576.65, 14,367.28 and 3,002.84

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Solution

The fourth proportional to 9,576.65, 14,367.28 and 3,002.84 is: 4,504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.65 : 14,367.28 = 3,002.84 : x
  2. Step 2: Convert to fraction form
    9,576.65/14,367.28 = 3,002.84/x
  3. Step 3: Cross multiply
    9,576.65x = 14,367.28 × 3,002.84
  4. Step 4: Simplify right side
    9,576.65x = 43,142,556.22
  5. Step 5: Solve for x
    x = 43,142,556.22/9,576.65
  6. Step 6: Final answer
    x = 4,504.97

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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.