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Finding the Fourth Proportional to 9,628.25, 13,285.82 and 5,379.54

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Solution

The fourth proportional to 9,628.25, 13,285.82 and 5,379.54 is: 7,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.25 : 13,285.82 = 5,379.54 : x
  2. Step 2: Convert to fraction form
    9,628.25/13,285.82 = 5,379.54/x
  3. Step 3: Cross multiply
    9,628.25x = 13,285.82 × 5,379.54
  4. Step 4: Simplify right side
    9,628.25x = 71,471,573.23
  5. Step 5: Solve for x
    x = 71,471,573.23/9,628.25
  6. Step 6: Final answer
    x = 7,423.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.