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Finding the Fourth Proportional to 6,810.75, 9,398.90 and 3,980.07

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Solution

The fourth proportional to 6,810.75, 9,398.90 and 3,980.07 is: 5,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.75 : 9,398.90 = 3,980.07 : x
  2. Step 2: Convert to fraction form
    6,810.75/9,398.90 = 3,980.07/x
  3. Step 3: Cross multiply
    6,810.75x = 9,398.90 × 3,980.07
  4. Step 4: Simplify right side
    6,810.75x = 37,408,289.87
  5. Step 5: Solve for x
    x = 37,408,289.87/6,810.75
  6. Step 6: Final answer
    x = 5,492.54

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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.