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Finding the Fourth Proportional to 6,464.32, 9,693.12 and 3,344.32

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Solution

The fourth proportional to 6,464.32, 9,693.12 and 3,344.32 is: 5,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.32 : 9,693.12 = 3,344.32 : x
  2. Step 2: Convert to fraction form
    6,464.32/9,693.12 = 3,344.32/x
  3. Step 3: Cross multiply
    6,464.32x = 9,693.12 × 3,344.32
  4. Step 4: Simplify right side
    6,464.32x = 32,416,895.08
  5. Step 5: Solve for x
    x = 32,416,895.08/6,464.32
  6. Step 6: Final answer
    x = 5,014.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.