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Finding the Fourth Proportional to 6,340.07, 9,512.84 and 3,417.69

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Solution

The fourth proportional to 6,340.07, 9,512.84 and 3,417.69 is: 5,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.07 : 9,512.84 = 3,417.69 : x
  2. Step 2: Convert to fraction form
    6,340.07/9,512.84 = 3,417.69/x
  3. Step 3: Cross multiply
    6,340.07x = 9,512.84 × 3,417.69
  4. Step 4: Simplify right side
    6,340.07x = 32,511,921.05
  5. Step 5: Solve for x
    x = 32,511,921.05/6,340.07
  6. Step 6: Final answer
    x = 5,128.01

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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.