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Finding the Fourth Proportional to 9,351.86, 14,032.34 and 3,806.60

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Solution

The fourth proportional to 9,351.86, 14,032.34 and 3,806.60 is: 5,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.86 : 14,032.34 = 3,806.60 : x
  2. Step 2: Convert to fraction form
    9,351.86/14,032.34 = 3,806.60/x
  3. Step 3: Cross multiply
    9,351.86x = 14,032.34 × 3,806.60
  4. Step 4: Simplify right side
    9,351.86x = 53,415,430.52
  5. Step 5: Solve for x
    x = 53,415,430.52/9,351.86
  6. Step 6: Final answer
    x = 5,711.75

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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.