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Finding the Fourth Proportional to 9,143.93, 13,716.40 and 2,569.60

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Solution

The fourth proportional to 9,143.93, 13,716.40 and 2,569.60 is: 3,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.93 : 13,716.40 = 2,569.60 : x
  2. Step 2: Convert to fraction form
    9,143.93/13,716.40 = 2,569.60/x
  3. Step 3: Cross multiply
    9,143.93x = 13,716.40 × 2,569.60
  4. Step 4: Simplify right side
    9,143.93x = 35,245,620.73
  5. Step 5: Solve for x
    x = 35,245,620.73/9,143.93
  6. Step 6: Final answer
    x = 3,854.54

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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.