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Finding the Fourth Proportional to 9,716.40, 14,574.60 and 2,696.03

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Solution

The fourth proportional to 9,716.40, 14,574.60 and 2,696.03 is: 4,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.40 : 14,574.60 = 2,696.03 : x
  2. Step 2: Convert to fraction form
    9,716.40/14,574.60 = 2,696.03/x
  3. Step 3: Cross multiply
    9,716.40x = 14,574.60 × 2,696.03
  4. Step 4: Simplify right side
    9,716.40x = 39,293,485.97
  5. Step 5: Solve for x
    x = 39,293,485.97/9,716.40
  6. Step 6: Final answer
    x = 4,044.04

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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.