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Finding the Fourth Proportional to 9,738.96, 14,609.28 and 5,868

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Solution

The fourth proportional to 9,738.96, 14,609.28 and 5,868 is: 8,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.96 : 14,609.28 = 5,868 : x
  2. Step 2: Convert to fraction form
    9,738.96/14,609.28 = 5,868/x
  3. Step 3: Cross multiply
    9,738.96x = 14,609.28 × 5,868
  4. Step 4: Simplify right side
    9,738.96x = 85,727,255.04
  5. Step 5: Solve for x
    x = 85,727,255.04/9,738.96
  6. Step 6: Final answer
    x = 8,802.51

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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.