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Finding the Fourth Proportional to 6,464.90, 9,697.35 and 2,083.01

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Solution

The fourth proportional to 6,464.90, 9,697.35 and 2,083.01 is: 3,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.90 : 9,697.35 = 2,083.01 : x
  2. Step 2: Convert to fraction form
    6,464.90/9,697.35 = 2,083.01/x
  3. Step 3: Cross multiply
    6,464.90x = 9,697.35 × 2,083.01
  4. Step 4: Simplify right side
    6,464.90x = 20,199,628.54
  5. Step 5: Solve for x
    x = 20,199,628.54/6,464.90
  6. Step 6: Final answer
    x = 3,124.51

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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.