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Finding the Fourth Proportional to 28,183.64, 42,276.15 and 9,464.30

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Solution

The fourth proportional to 28,183.64, 42,276.15 and 9,464.30 is: 14,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,183.64 : 42,276.15 = 9,464.30 : x
  2. Step 2: Convert to fraction form
    28,183.64/42,276.15 = 9,464.30/x
  3. Step 3: Cross multiply
    28,183.64x = 42,276.15 × 9,464.30
  4. Step 4: Simplify right side
    28,183.64x = 400,113,955.06
  5. Step 5: Solve for x
    x = 400,113,955.06/28,183.64
  6. Step 6: Final answer
    x = 14,196.67

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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.