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Finding the Fourth Proportional to 9,037.44, 13,530.24 and 8,311.68

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Solution

The fourth proportional to 9,037.44, 13,530.24 and 8,311.68 is: 12,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.44 : 13,530.24 = 8,311.68 : x
  2. Step 2: Convert to fraction form
    9,037.44/13,530.24 = 8,311.68/x
  3. Step 3: Cross multiply
    9,037.44x = 13,530.24 × 8,311.68
  4. Step 4: Simplify right side
    9,037.44x = 112,459,025.20
  5. Step 5: Solve for x
    x = 112,459,025.20/9,037.44
  6. Step 6: Final answer
    x = 12,443.68

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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.