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Finding the Fourth Proportional to 9,181.89, 12,665.07 and 6,309.24

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Solution

The fourth proportional to 9,181.89, 12,665.07 and 6,309.24 is: 8,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.89 : 12,665.07 = 6,309.24 : x
  2. Step 2: Convert to fraction form
    9,181.89/12,665.07 = 6,309.24/x
  3. Step 3: Cross multiply
    9,181.89x = 12,665.07 × 6,309.24
  4. Step 4: Simplify right side
    9,181.89x = 79,906,966.25
  5. Step 5: Solve for x
    x = 79,906,966.25/9,181.89
  6. Step 6: Final answer
    x = 8,702.67

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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.