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Finding the Fourth Proportional to 6,950.40, 9,591.98 and 3,806.58

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Solution

The fourth proportional to 6,950.40, 9,591.98 and 3,806.58 is: 5,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.40 : 9,591.98 = 3,806.58 : x
  2. Step 2: Convert to fraction form
    6,950.40/9,591.98 = 3,806.58/x
  3. Step 3: Cross multiply
    6,950.40x = 9,591.98 × 3,806.58
  4. Step 4: Simplify right side
    6,950.40x = 36,512,639.23
  5. Step 5: Solve for x
    x = 36,512,639.23/6,950.40
  6. Step 6: Final answer
    x = 5,253.31

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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.