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Finding the Fourth Proportional to 6,190.43, 9,281.70 and 3,419.01

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Solution

The fourth proportional to 6,190.43, 9,281.70 and 3,419.01 is: 5,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.43 : 9,281.70 = 3,419.01 : x
  2. Step 2: Convert to fraction form
    6,190.43/9,281.70 = 3,419.01/x
  3. Step 3: Cross multiply
    6,190.43x = 9,281.70 × 3,419.01
  4. Step 4: Simplify right side
    6,190.43x = 31,734,225.12
  5. Step 5: Solve for x
    x = 31,734,225.12/6,190.43
  6. Step 6: Final answer
    x = 5,126.34

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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.