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Finding the Fourth Proportional to 6,435.40, 9,653.86 and 2,274.54

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Solution

The fourth proportional to 6,435.40, 9,653.86 and 2,274.54 is: 3,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.40 : 9,653.86 = 2,274.54 : x
  2. Step 2: Convert to fraction form
    6,435.40/9,653.86 = 2,274.54/x
  3. Step 3: Cross multiply
    6,435.40x = 9,653.86 × 2,274.54
  4. Step 4: Simplify right side
    6,435.40x = 21,958,090.72
  5. Step 5: Solve for x
    x = 21,958,090.72/6,435.40
  6. Step 6: Final answer
    x = 3,412.08

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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.