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Finding the Fourth Proportional to 6,975.84, 9,626.58 and 4,181.34

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Solution

The fourth proportional to 6,975.84, 9,626.58 and 4,181.34 is: 5,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.84 : 9,626.58 = 4,181.34 : x
  2. Step 2: Convert to fraction form
    6,975.84/9,626.58 = 4,181.34/x
  3. Step 3: Cross multiply
    6,975.84x = 9,626.58 × 4,181.34
  4. Step 4: Simplify right side
    6,975.84x = 40,252,004.02
  5. Step 5: Solve for x
    x = 40,252,004.02/6,975.84
  6. Step 6: Final answer
    x = 5,770.20

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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.