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Finding the Fourth Proportional to 9,029.70, 13,542.41 and 2,454.44

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Solution

The fourth proportional to 9,029.70, 13,542.41 and 2,454.44 is: 3,681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.70 : 13,542.41 = 2,454.44 : x
  2. Step 2: Convert to fraction form
    9,029.70/13,542.41 = 2,454.44/x
  3. Step 3: Cross multiply
    9,029.70x = 13,542.41 × 2,454.44
  4. Step 4: Simplify right side
    9,029.70x = 33,238,971.22
  5. Step 5: Solve for x
    x = 33,238,971.22/9,029.70
  6. Step 6: Final answer
    x = 3,681.07

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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.