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Finding the Fourth Proportional to 6,975.42, 9,626.70 and 3,990.66

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Solution

The fourth proportional to 6,975.42, 9,626.70 and 3,990.66 is: 5,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.42 : 9,626.70 = 3,990.66 : x
  2. Step 2: Convert to fraction form
    6,975.42/9,626.70 = 3,990.66/x
  3. Step 3: Cross multiply
    6,975.42x = 9,626.70 × 3,990.66
  4. Step 4: Simplify right side
    6,975.42x = 38,416,886.62
  5. Step 5: Solve for x
    x = 38,416,886.62/6,975.42
  6. Step 6: Final answer
    x = 5,507.47

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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.