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Finding the Fourth Proportional to 6,071.80, 9,107.70 and 5,438.20

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Solution

The fourth proportional to 6,071.80, 9,107.70 and 5,438.20 is: 8,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.80 : 9,107.70 = 5,438.20 : x
  2. Step 2: Convert to fraction form
    6,071.80/9,107.70 = 5,438.20/x
  3. Step 3: Cross multiply
    6,071.80x = 9,107.70 × 5,438.20
  4. Step 4: Simplify right side
    6,071.80x = 49,529,494.14
  5. Step 5: Solve for x
    x = 49,529,494.14/6,071.80
  6. Step 6: Final answer
    x = 8,157.30

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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.