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Finding the Fourth Proportional to 6,400.16, 9,594.04 and 3,281.64

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Solution

The fourth proportional to 6,400.16, 9,594.04 and 3,281.64 is: 4,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.16 : 9,594.04 = 3,281.64 : x
  2. Step 2: Convert to fraction form
    6,400.16/9,594.04 = 3,281.64/x
  3. Step 3: Cross multiply
    6,400.16x = 9,594.04 × 3,281.64
  4. Step 4: Simplify right side
    6,400.16x = 31,484,185.43
  5. Step 5: Solve for x
    x = 31,484,185.43/6,400.16
  6. Step 6: Final answer
    x = 4,919.28

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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.