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Finding the Fourth Proportional to 6,464.72, 9,699.96 and 3,386

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Solution

The fourth proportional to 6,464.72, 9,699.96 and 3,386 is: 5,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.72 : 9,699.96 = 3,386 : x
  2. Step 2: Convert to fraction form
    6,464.72/9,699.96 = 3,386/x
  3. Step 3: Cross multiply
    6,464.72x = 9,699.96 × 3,386
  4. Step 4: Simplify right side
    6,464.72x = 32,844,064.56
  5. Step 5: Solve for x
    x = 32,844,064.56/6,464.72
  6. Step 6: Final answer
    x = 5,080.51

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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.