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Finding the Fourth Proportional to 6,632.39, 9,152.75 and 3,648.24

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Solution

The fourth proportional to 6,632.39, 9,152.75 and 3,648.24 is: 5,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.39 : 9,152.75 = 3,648.24 : x
  2. Step 2: Convert to fraction form
    6,632.39/9,152.75 = 3,648.24/x
  3. Step 3: Cross multiply
    6,632.39x = 9,152.75 × 3,648.24
  4. Step 4: Simplify right side
    6,632.39x = 33,391,410.42
  5. Step 5: Solve for x
    x = 33,391,410.42/6,632.39
  6. Step 6: Final answer
    x = 5,034.60

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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.