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Finding the Fourth Proportional to 9,208.37, 12,707.89 and 5,229.65

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Solution

The fourth proportional to 9,208.37, 12,707.89 and 5,229.65 is: 7,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.37 : 12,707.89 = 5,229.65 : x
  2. Step 2: Convert to fraction form
    9,208.37/12,707.89 = 5,229.65/x
  3. Step 3: Cross multiply
    9,208.37x = 12,707.89 × 5,229.65
  4. Step 4: Simplify right side
    9,208.37x = 66,457,835.63
  5. Step 5: Solve for x
    x = 66,457,835.63/9,208.37
  6. Step 6: Final answer
    x = 7,217.11

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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.