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Finding the Fourth Proportional to 9,365.85, 14,053.38 and 3,823.02

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Solution

The fourth proportional to 9,365.85, 14,053.38 and 3,823.02 is: 5,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.85 : 14,053.38 = 3,823.02 : x
  2. Step 2: Convert to fraction form
    9,365.85/14,053.38 = 3,823.02/x
  3. Step 3: Cross multiply
    9,365.85x = 14,053.38 × 3,823.02
  4. Step 4: Simplify right side
    9,365.85x = 53,726,352.81
  5. Step 5: Solve for x
    x = 53,726,352.81/9,365.85
  6. Step 6: Final answer
    x = 5,736.41

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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.