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Finding the Fourth Proportional to 6,415.90, 9,625.20 and 2,716.23

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Solution

The fourth proportional to 6,415.90, 9,625.20 and 2,716.23 is: 4,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.90 : 9,625.20 = 2,716.23 : x
  2. Step 2: Convert to fraction form
    6,415.90/9,625.20 = 2,716.23/x
  3. Step 3: Cross multiply
    6,415.90x = 9,625.20 × 2,716.23
  4. Step 4: Simplify right side
    6,415.90x = 26,144,257.00
  5. Step 5: Solve for x
    x = 26,144,257.00/6,415.90
  6. Step 6: Final answer
    x = 4,074.92

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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.