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Finding the Fourth Proportional to 9,137.60, 13,682.10 and 5,832.80

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Solution

The fourth proportional to 9,137.60, 13,682.10 and 5,832.80 is: 8,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.60 : 13,682.10 = 5,832.80 : x
  2. Step 2: Convert to fraction form
    9,137.60/13,682.10 = 5,832.80/x
  3. Step 3: Cross multiply
    9,137.60x = 13,682.10 × 5,832.80
  4. Step 4: Simplify right side
    9,137.60x = 79,804,952.88
  5. Step 5: Solve for x
    x = 79,804,952.88/9,137.60
  6. Step 6: Final answer
    x = 8,733.69

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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.