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Finding the Fourth Proportional to 9,933.60, 13,707.51 and 5,683.80

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Solution

The fourth proportional to 9,933.60, 13,707.51 and 5,683.80 is: 7,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.60 : 13,707.51 = 5,683.80 : x
  2. Step 2: Convert to fraction form
    9,933.60/13,707.51 = 5,683.80/x
  3. Step 3: Cross multiply
    9,933.60x = 13,707.51 × 5,683.80
  4. Step 4: Simplify right side
    9,933.60x = 77,910,745.34
  5. Step 5: Solve for x
    x = 77,910,745.34/9,933.60
  6. Step 6: Final answer
    x = 7,843.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.