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Finding the Fourth Proportional to 6,975.35, 9,626.16 and 3,788.64

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Solution

The fourth proportional to 6,975.35, 9,626.16 and 3,788.64 is: 5,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.35 : 9,626.16 = 3,788.64 : x
  2. Step 2: Convert to fraction form
    6,975.35/9,626.16 = 3,788.64/x
  3. Step 3: Cross multiply
    6,975.35x = 9,626.16 × 3,788.64
  4. Step 4: Simplify right side
    6,975.35x = 36,470,054.82
  5. Step 5: Solve for x
    x = 36,470,054.82/6,975.35
  6. Step 6: Final answer
    x = 5,228.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.