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Finding the Fourth Proportional to 9,378.75, 12,942.89 and 5,399.22

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Solution

The fourth proportional to 9,378.75, 12,942.89 and 5,399.22 is: 7,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.75 : 12,942.89 = 5,399.22 : x
  2. Step 2: Convert to fraction form
    9,378.75/12,942.89 = 5,399.22/x
  3. Step 3: Cross multiply
    9,378.75x = 12,942.89 × 5,399.22
  4. Step 4: Simplify right side
    9,378.75x = 69,881,483.55
  5. Step 5: Solve for x
    x = 69,881,483.55/9,378.75
  6. Step 6: Final answer
    x = 7,451.04

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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.