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Finding the Fourth Proportional to 9,269.44, 13,906.40 and 3,029.76

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Solution

The fourth proportional to 9,269.44, 13,906.40 and 3,029.76 is: 4,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.44 : 13,906.40 = 3,029.76 : x
  2. Step 2: Convert to fraction form
    9,269.44/13,906.40 = 3,029.76/x
  3. Step 3: Cross multiply
    9,269.44x = 13,906.40 × 3,029.76
  4. Step 4: Simplify right side
    9,269.44x = 42,133,054.46
  5. Step 5: Solve for x
    x = 42,133,054.46/9,269.44
  6. Step 6: Final answer
    x = 4,545.37

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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.