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Finding the Fourth Proportional to 6,412.90, 9,620.70 and 2,713.24

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Solution

The fourth proportional to 6,412.90, 9,620.70 and 2,713.24 is: 4,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.90 : 9,620.70 = 2,713.24 : x
  2. Step 2: Convert to fraction form
    6,412.90/9,620.70 = 2,713.24/x
  3. Step 3: Cross multiply
    6,412.90x = 9,620.70 × 2,713.24
  4. Step 4: Simplify right side
    6,412.90x = 26,103,268.07
  5. Step 5: Solve for x
    x = 26,103,268.07/6,412.90
  6. Step 6: Final answer
    x = 4,070.43

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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.