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Finding the Fourth Proportional to 9,716.26, 14,572.74 and 2,696.98

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Solution

The fourth proportional to 9,716.26, 14,572.74 and 2,696.98 is: 4,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.26 : 14,572.74 = 2,696.98 : x
  2. Step 2: Convert to fraction form
    9,716.26/14,572.74 = 2,696.98/x
  3. Step 3: Cross multiply
    9,716.26x = 14,572.74 × 2,696.98
  4. Step 4: Simplify right side
    9,716.26x = 39,302,388.33
  5. Step 5: Solve for x
    x = 39,302,388.33/9,716.26
  6. Step 6: Final answer
    x = 4,045.01

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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.