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Finding the Fourth Proportional to 9,537.35, 13,155.41 and 5,994.41

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Solution

The fourth proportional to 9,537.35, 13,155.41 and 5,994.41 is: 8,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.35 : 13,155.41 = 5,994.41 : x
  2. Step 2: Convert to fraction form
    9,537.35/13,155.41 = 5,994.41/x
  3. Step 3: Cross multiply
    9,537.35x = 13,155.41 × 5,994.41
  4. Step 4: Simplify right side
    9,537.35x = 78,858,870.47
  5. Step 5: Solve for x
    x = 78,858,870.47/9,537.35
  6. Step 6: Final answer
    x = 8,268.43

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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.