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Finding the Fourth Proportional to 9,405.71, 14,093.98 and 3,854.37

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Solution

The fourth proportional to 9,405.71, 14,093.98 and 3,854.37 is: 5,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.71 : 14,093.98 = 3,854.37 : x
  2. Step 2: Convert to fraction form
    9,405.71/14,093.98 = 3,854.37/x
  3. Step 3: Cross multiply
    9,405.71x = 14,093.98 × 3,854.37
  4. Step 4: Simplify right side
    9,405.71x = 54,323,413.69
  5. Step 5: Solve for x
    x = 54,323,413.69/9,405.71
  6. Step 6: Final answer
    x = 5,775.58

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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.