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Finding the Fourth Proportional to 6,464.64, 9,697.29 and 3,341.33

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Solution

The fourth proportional to 6,464.64, 9,697.29 and 3,341.33 is: 5,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.64 : 9,697.29 = 3,341.33 : x
  2. Step 2: Convert to fraction form
    6,464.64/9,697.29 = 3,341.33/x
  3. Step 3: Cross multiply
    6,464.64x = 9,697.29 × 3,341.33
  4. Step 4: Simplify right side
    6,464.64x = 32,401,822.26
  5. Step 5: Solve for x
    x = 32,401,822.26/6,464.64
  6. Step 6: Final answer
    x = 5,012.17

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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.