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Finding the Fourth Proportional to 9,735.26, 13,420.67 and 6,935.90

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Solution

The fourth proportional to 9,735.26, 13,420.67 and 6,935.90 is: 9,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.26 : 13,420.67 = 6,935.90 : x
  2. Step 2: Convert to fraction form
    9,735.26/13,420.67 = 6,935.90/x
  3. Step 3: Cross multiply
    9,735.26x = 13,420.67 × 6,935.90
  4. Step 4: Simplify right side
    9,735.26x = 93,084,323.27
  5. Step 5: Solve for x
    x = 93,084,323.27/9,735.26
  6. Step 6: Final answer
    x = 9,561.57

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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.