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Finding the Fourth Proportional to 9,224.20, 13,840.62 and 4,029.40

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Solution

The fourth proportional to 9,224.20, 13,840.62 and 4,029.40 is: 6,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.20 : 13,840.62 = 4,029.40 : x
  2. Step 2: Convert to fraction form
    9,224.20/13,840.62 = 4,029.40/x
  3. Step 3: Cross multiply
    9,224.20x = 13,840.62 × 4,029.40
  4. Step 4: Simplify right side
    9,224.20x = 55,769,394.23
  5. Step 5: Solve for x
    x = 55,769,394.23/9,224.20
  6. Step 6: Final answer
    x = 6,045.99

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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.