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Finding the Fourth Proportional to 6,416.93, 9,618.09 and 2,716.85

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Solution

The fourth proportional to 6,416.93, 9,618.09 and 2,716.85 is: 4,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.93 : 9,618.09 = 2,716.85 : x
  2. Step 2: Convert to fraction form
    6,416.93/9,618.09 = 2,716.85/x
  3. Step 3: Cross multiply
    6,416.93x = 9,618.09 × 2,716.85
  4. Step 4: Simplify right side
    6,416.93x = 26,130,907.82
  5. Step 5: Solve for x
    x = 26,130,907.82/6,416.93
  6. Step 6: Final answer
    x = 4,072.18

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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.