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Finding the Fourth Proportional to 9,211.68, 13,824 and 4,019.04

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Solution

The fourth proportional to 9,211.68, 13,824 and 4,019.04 is: 6,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.68 : 13,824 = 4,019.04 : x
  2. Step 2: Convert to fraction form
    9,211.68/13,824 = 4,019.04/x
  3. Step 3: Cross multiply
    9,211.68x = 13,824 × 4,019.04
  4. Step 4: Simplify right side
    9,211.68x = 55,559,208.96
  5. Step 5: Solve for x
    x = 55,559,208.96/9,211.68
  6. Step 6: Final answer
    x = 6,031.39

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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.