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Finding the Fourth Proportional to 6,102.39, 9,153.60 and 1,485.39

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Solution

The fourth proportional to 6,102.39, 9,153.60 and 1,485.39 is: 2,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.39 : 9,153.60 = 1,485.39 : x
  2. Step 2: Convert to fraction form
    6,102.39/9,153.60 = 1,485.39/x
  3. Step 3: Cross multiply
    6,102.39x = 9,153.60 × 1,485.39
  4. Step 4: Simplify right side
    6,102.39x = 13,596,665.90
  5. Step 5: Solve for x
    x = 13,596,665.90/6,102.39
  6. Step 6: Final answer
    x = 2,228.09

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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.