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Finding the Fourth Proportional to 9,143.94, 13,716.72 and 2,570.07

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Solution

The fourth proportional to 9,143.94, 13,716.72 and 2,570.07 is: 3,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.94 : 13,716.72 = 2,570.07 : x
  2. Step 2: Convert to fraction form
    9,143.94/13,716.72 = 2,570.07/x
  3. Step 3: Cross multiply
    9,143.94x = 13,716.72 × 2,570.07
  4. Step 4: Simplify right side
    9,143.94x = 35,252,930.57
  5. Step 5: Solve for x
    x = 35,252,930.57/9,143.94
  6. Step 6: Final answer
    x = 3,855.33

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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.