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Finding the Fourth Proportional to 9,029.56, 13,545.94 and 3,189.56

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Solution

The fourth proportional to 9,029.56, 13,545.94 and 3,189.56 is: 4,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.56 : 13,545.94 = 3,189.56 : x
  2. Step 2: Convert to fraction form
    9,029.56/13,545.94 = 3,189.56/x
  3. Step 3: Cross multiply
    9,029.56x = 13,545.94 × 3,189.56
  4. Step 4: Simplify right side
    9,029.56x = 43,205,588.39
  5. Step 5: Solve for x
    x = 43,205,588.39/9,029.56
  6. Step 6: Final answer
    x = 4,784.91

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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.