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Finding the Fourth Proportional to 6,419.30, 9,629.46 and 2,259.20

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Solution

The fourth proportional to 6,419.30, 9,629.46 and 2,259.20 is: 3,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.30 : 9,629.46 = 2,259.20 : x
  2. Step 2: Convert to fraction form
    6,419.30/9,629.46 = 2,259.20/x
  3. Step 3: Cross multiply
    6,419.30x = 9,629.46 × 2,259.20
  4. Step 4: Simplify right side
    6,419.30x = 21,754,876.03
  5. Step 5: Solve for x
    x = 21,754,876.03/6,419.30
  6. Step 6: Final answer
    x = 3,388.98

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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.