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Finding the Fourth Proportional to 6,632.36, 9,152.90 and 3,648.32

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Solution

The fourth proportional to 6,632.36, 9,152.90 and 3,648.32 is: 5,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.36 : 9,152.90 = 3,648.32 : x
  2. Step 2: Convert to fraction form
    6,632.36/9,152.90 = 3,648.32/x
  3. Step 3: Cross multiply
    6,632.36x = 9,152.90 × 3,648.32
  4. Step 4: Simplify right side
    6,632.36x = 33,392,708.13
  5. Step 5: Solve for x
    x = 33,392,708.13/6,632.36
  6. Step 6: Final answer
    x = 5,034.82

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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.