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Finding the Fourth Proportional to 9,576.16, 14,353.62 and 4,027.86

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Solution

The fourth proportional to 9,576.16, 14,353.62 and 4,027.86 is: 6,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.16 : 14,353.62 = 4,027.86 : x
  2. Step 2: Convert to fraction form
    9,576.16/14,353.62 = 4,027.86/x
  3. Step 3: Cross multiply
    9,576.16x = 14,353.62 × 4,027.86
  4. Step 4: Simplify right side
    9,576.16x = 57,814,371.85
  5. Step 5: Solve for x
    x = 57,814,371.85/9,576.16
  6. Step 6: Final answer
    x = 6,037.32

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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.