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Finding the Fourth Proportional to 9,174.89, 13,767.05 and 4,494.81

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Solution

The fourth proportional to 9,174.89, 13,767.05 and 4,494.81 is: 6,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.89 : 13,767.05 = 4,494.81 : x
  2. Step 2: Convert to fraction form
    9,174.89/13,767.05 = 4,494.81/x
  3. Step 3: Cross multiply
    9,174.89x = 13,767.05 × 4,494.81
  4. Step 4: Simplify right side
    9,174.89x = 61,880,274.01
  5. Step 5: Solve for x
    x = 61,880,274.01/9,174.89
  6. Step 6: Final answer
    x = 6,744.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.