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Finding the Fourth Proportional to 9,365.48, 14,039.42 and 3,205.16

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Solution

The fourth proportional to 9,365.48, 14,039.42 and 3,205.16 is: 4,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.48 : 14,039.42 = 3,205.16 : x
  2. Step 2: Convert to fraction form
    9,365.48/14,039.42 = 3,205.16/x
  3. Step 3: Cross multiply
    9,365.48x = 14,039.42 × 3,205.16
  4. Step 4: Simplify right side
    9,365.48x = 44,998,587.41
  5. Step 5: Solve for x
    x = 44,998,587.41/9,365.48
  6. Step 6: Final answer
    x = 4,804.73

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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.