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Finding the Fourth Proportional to 6,632.78, 9,153.46 and 3,648.84

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Solution

The fourth proportional to 6,632.78, 9,153.46 and 3,648.84 is: 5,035.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.78 : 9,153.46 = 3,648.84 : x
  2. Step 2: Convert to fraction form
    6,632.78/9,153.46 = 3,648.84/x
  3. Step 3: Cross multiply
    6,632.78x = 9,153.46 × 3,648.84
  4. Step 4: Simplify right side
    6,632.78x = 33,399,510.99
  5. Step 5: Solve for x
    x = 33,399,510.99/6,632.78
  6. Step 6: Final answer
    x = 5,035.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.