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Finding the Fourth Proportional to 9,384.89, 12,945.89 and 8,433.54

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Solution

The fourth proportional to 9,384.89, 12,945.89 and 8,433.54 is: 11,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.89 : 12,945.89 = 8,433.54 : x
  2. Step 2: Convert to fraction form
    9,384.89/12,945.89 = 8,433.54/x
  3. Step 3: Cross multiply
    9,384.89x = 12,945.89 × 8,433.54
  4. Step 4: Simplify right side
    9,384.89x = 109,179,702.23
  5. Step 5: Solve for x
    x = 109,179,702.23/9,384.89
  6. Step 6: Final answer
    x = 11,633.57

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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.