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Finding the Fourth Proportional to 6,101.70, 9,153.42 and 2,153.49

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Solution

The fourth proportional to 6,101.70, 9,153.42 and 2,153.49 is: 3,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.70 : 9,153.42 = 2,153.49 : x
  2. Step 2: Convert to fraction form
    6,101.70/9,153.42 = 2,153.49/x
  3. Step 3: Cross multiply
    6,101.70x = 9,153.42 × 2,153.49
  4. Step 4: Simplify right side
    6,101.70x = 19,711,752.67
  5. Step 5: Solve for x
    x = 19,711,752.67/6,101.70
  6. Step 6: Final answer
    x = 3,230.54

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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.