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Finding the Fourth Proportional to 34,754.16, 52,131.44 and 9,794.41

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Solution

The fourth proportional to 34,754.16, 52,131.44 and 9,794.41 is: 14,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,754.16 : 52,131.44 = 9,794.41 : x
  2. Step 2: Convert to fraction form
    34,754.16/52,131.44 = 9,794.41/x
  3. Step 3: Cross multiply
    34,754.16x = 52,131.44 × 9,794.41
  4. Step 4: Simplify right side
    34,754.16x = 510,596,697.25
  5. Step 5: Solve for x
    x = 510,596,697.25/34,754.16
  6. Step 6: Final answer
    x = 14,691.67

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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.