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Finding the Fourth Proportional to 6,102.73, 9,154.10 and 1,485.73

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Solution

The fourth proportional to 6,102.73, 9,154.10 and 1,485.73 is: 2,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.73 : 9,154.10 = 1,485.73 : x
  2. Step 2: Convert to fraction form
    6,102.73/9,154.10 = 1,485.73/x
  3. Step 3: Cross multiply
    6,102.73x = 9,154.10 × 1,485.73
  4. Step 4: Simplify right side
    6,102.73x = 13,600,520.99
  5. Step 5: Solve for x
    x = 13,600,520.99/6,102.73
  6. Step 6: Final answer
    x = 2,228.60

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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.