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Finding the Fourth Proportional to 6,980.04, 9,632.58 and 3,836.22

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Solution

The fourth proportional to 6,980.04, 9,632.58 and 3,836.22 is: 5,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.04 : 9,632.58 = 3,836.22 : x
  2. Step 2: Convert to fraction form
    6,980.04/9,632.58 = 3,836.22/x
  3. Step 3: Cross multiply
    6,980.04x = 9,632.58 × 3,836.22
  4. Step 4: Simplify right side
    6,980.04x = 36,952,696.05
  5. Step 5: Solve for x
    x = 36,952,696.05/6,980.04
  6. Step 6: Final answer
    x = 5,294.05

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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.