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Finding the Fourth Proportional to 9,023.20, 13,533.78 and 4,278.22

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Solution

The fourth proportional to 9,023.20, 13,533.78 and 4,278.22 is: 6,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.20 : 13,533.78 = 4,278.22 : x
  2. Step 2: Convert to fraction form
    9,023.20/13,533.78 = 4,278.22/x
  3. Step 3: Cross multiply
    9,023.20x = 13,533.78 × 4,278.22
  4. Step 4: Simplify right side
    9,023.20x = 57,900,488.27
  5. Step 5: Solve for x
    x = 57,900,488.27/9,023.20
  6. Step 6: Final answer
    x = 6,416.85

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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.