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Finding the Fourth Proportional to 6,535.26, 9,802.90 and 3,937.60

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Solution

The fourth proportional to 6,535.26, 9,802.90 and 3,937.60 is: 5,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.26 : 9,802.90 = 3,937.60 : x
  2. Step 2: Convert to fraction form
    6,535.26/9,802.90 = 3,937.60/x
  3. Step 3: Cross multiply
    6,535.26x = 9,802.90 × 3,937.60
  4. Step 4: Simplify right side
    6,535.26x = 38,599,899.04
  5. Step 5: Solve for x
    x = 38,599,899.04/6,535.26
  6. Step 6: Final answer
    x = 5,906.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.