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Finding the Fourth Proportional to 6,412.10, 9,610.95 and 3,290.90

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Solution

The fourth proportional to 6,412.10, 9,610.95 and 3,290.90 is: 4,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.10 : 9,610.95 = 3,290.90 : x
  2. Step 2: Convert to fraction form
    6,412.10/9,610.95 = 3,290.90/x
  3. Step 3: Cross multiply
    6,412.10x = 9,610.95 × 3,290.90
  4. Step 4: Simplify right side
    6,412.10x = 31,628,675.36
  5. Step 5: Solve for x
    x = 31,628,675.36/6,412.10
  6. Step 6: Final answer
    x = 4,932.65

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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.