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Finding the Fourth Proportional to 6,069.74, 8,375.81 and 5,438.14

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Solution

The fourth proportional to 6,069.74, 8,375.81 and 5,438.14 is: 7,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.74 : 8,375.81 = 5,438.14 : x
  2. Step 2: Convert to fraction form
    6,069.74/8,375.81 = 5,438.14/x
  3. Step 3: Cross multiply
    6,069.74x = 8,375.81 × 5,438.14
  4. Step 4: Simplify right side
    6,069.74x = 45,548,779.26
  5. Step 5: Solve for x
    x = 45,548,779.26/6,069.74
  6. Step 6: Final answer
    x = 7,504.25

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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.