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Finding the Fourth Proportional to 6,465.59, 9,698.39 and 2,083.04

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Solution

The fourth proportional to 6,465.59, 9,698.39 and 2,083.04 is: 3,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.59 : 9,698.39 = 2,083.04 : x
  2. Step 2: Convert to fraction form
    6,465.59/9,698.39 = 2,083.04/x
  3. Step 3: Cross multiply
    6,465.59x = 9,698.39 × 2,083.04
  4. Step 4: Simplify right side
    6,465.59x = 20,202,134.31
  5. Step 5: Solve for x
    x = 20,202,134.31/6,465.59
  6. Step 6: Final answer
    x = 3,124.56

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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.