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Finding the Fourth Proportional to 9,500.64, 14,236.56 and 6,027.36

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Solution

The fourth proportional to 9,500.64, 14,236.56 and 6,027.36 is: 9,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.64 : 14,236.56 = 6,027.36 : x
  2. Step 2: Convert to fraction form
    9,500.64/14,236.56 = 6,027.36/x
  3. Step 3: Cross multiply
    9,500.64x = 14,236.56 × 6,027.36
  4. Step 4: Simplify right side
    9,500.64x = 85,808,872.28
  5. Step 5: Solve for x
    x = 85,808,872.28/9,500.64
  6. Step 6: Final answer
    x = 9,031.90

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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.