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Finding the Fourth Proportional to 9,300.29, 12,828.03 and 5,941.62

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Solution

The fourth proportional to 9,300.29, 12,828.03 and 5,941.62 is: 8,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.29 : 12,828.03 = 5,941.62 : x
  2. Step 2: Convert to fraction form
    9,300.29/12,828.03 = 5,941.62/x
  3. Step 3: Cross multiply
    9,300.29x = 12,828.03 × 5,941.62
  4. Step 4: Simplify right side
    9,300.29x = 76,219,257.33
  5. Step 5: Solve for x
    x = 76,219,257.33/9,300.29
  6. Step 6: Final answer
    x = 8,195.37

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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.