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Finding the Fourth Proportional to 6,632.69, 9,153.42 and 3,648.47

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Solution

The fourth proportional to 6,632.69, 9,153.42 and 3,648.47 is: 5,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.69 : 9,153.42 = 3,648.47 : x
  2. Step 2: Convert to fraction form
    6,632.69/9,153.42 = 3,648.47/x
  3. Step 3: Cross multiply
    6,632.69x = 9,153.42 × 3,648.47
  4. Step 4: Simplify right side
    6,632.69x = 33,395,978.27
  5. Step 5: Solve for x
    x = 33,395,978.27/6,632.69
  6. Step 6: Final answer
    x = 5,035.06

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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.