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Finding the Fourth Proportional to 6,154.40, 9,237.36 and 3,234.80

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Solution

The fourth proportional to 6,154.40, 9,237.36 and 3,234.80 is: 4,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.40 : 9,237.36 = 3,234.80 : x
  2. Step 2: Convert to fraction form
    6,154.40/9,237.36 = 3,234.80/x
  3. Step 3: Cross multiply
    6,154.40x = 9,237.36 × 3,234.80
  4. Step 4: Simplify right side
    6,154.40x = 29,881,012.13
  5. Step 5: Solve for x
    x = 29,881,012.13/6,154.40
  6. Step 6: Final answer
    x = 4,855.23

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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.