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Finding the Fourth Proportional to 9,576.29, 13,216.23 and 5,800.41

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Solution

The fourth proportional to 9,576.29, 13,216.23 and 5,800.41 is: 8,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.29 : 13,216.23 = 5,800.41 : x
  2. Step 2: Convert to fraction form
    9,576.29/13,216.23 = 5,800.41/x
  3. Step 3: Cross multiply
    9,576.29x = 13,216.23 × 5,800.41
  4. Step 4: Simplify right side
    9,576.29x = 76,659,552.65
  5. Step 5: Solve for x
    x = 76,659,552.65/9,576.29
  6. Step 6: Final answer
    x = 8,005.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.