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Finding the Fourth Proportional to 9,576.34, 14,375.50 and 5,689.02

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Solution

The fourth proportional to 9,576.34, 14,375.50 and 5,689.02 is: 8,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.34 : 14,375.50 = 5,689.02 : x
  2. Step 2: Convert to fraction form
    9,576.34/14,375.50 = 5,689.02/x
  3. Step 3: Cross multiply
    9,576.34x = 14,375.50 × 5,689.02
  4. Step 4: Simplify right side
    9,576.34x = 81,782,507.01
  5. Step 5: Solve for x
    x = 81,782,507.01/9,576.34
  6. Step 6: Final answer
    x = 8,540.06

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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.