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Finding the Fourth Proportional to 9,023.12, 13,533.48 and 3,179

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Solution

The fourth proportional to 9,023.12, 13,533.48 and 3,179 is: 4,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.12 : 13,533.48 = 3,179 : x
  2. Step 2: Convert to fraction form
    9,023.12/13,533.48 = 3,179/x
  3. Step 3: Cross multiply
    9,023.12x = 13,533.48 × 3,179
  4. Step 4: Simplify right side
    9,023.12x = 43,022,932.92
  5. Step 5: Solve for x
    x = 43,022,932.92/9,023.12
  6. Step 6: Final answer
    x = 4,768.08

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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.