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Finding the Fourth Proportional to 6,935.78, 9,570.26 and 3,951.68

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Solution

The fourth proportional to 6,935.78, 9,570.26 and 3,951.68 is: 5,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.78 : 9,570.26 = 3,951.68 : x
  2. Step 2: Convert to fraction form
    6,935.78/9,570.26 = 3,951.68/x
  3. Step 3: Cross multiply
    6,935.78x = 9,570.26 × 3,951.68
  4. Step 4: Simplify right side
    6,935.78x = 37,818,567.06
  5. Step 5: Solve for x
    x = 37,818,567.06/6,935.78
  6. Step 6: Final answer
    x = 5,452.67

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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.