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Finding the Fourth Proportional to 6,419.52, 9,628.96 and 2,259.84

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Solution

The fourth proportional to 6,419.52, 9,628.96 and 2,259.84 is: 3,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.52 : 9,628.96 = 2,259.84 : x
  2. Step 2: Convert to fraction form
    6,419.52/9,628.96 = 2,259.84/x
  3. Step 3: Cross multiply
    6,419.52x = 9,628.96 × 2,259.84
  4. Step 4: Simplify right side
    6,419.52x = 21,759,908.97
  5. Step 5: Solve for x
    x = 21,759,908.97/6,419.52
  6. Step 6: Final answer
    x = 3,389.65

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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.