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Finding the Fourth Proportional to 6,980.96, 9,629.88 and 4,424.04

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Solution

The fourth proportional to 6,980.96, 9,629.88 and 4,424.04 is: 6,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.96 : 9,629.88 = 4,424.04 : x
  2. Step 2: Convert to fraction form
    6,980.96/9,629.88 = 4,424.04/x
  3. Step 3: Cross multiply
    6,980.96x = 9,629.88 × 4,424.04
  4. Step 4: Simplify right side
    6,980.96x = 42,602,974.32
  5. Step 5: Solve for x
    x = 42,602,974.32/6,980.96
  6. Step 6: Final answer
    x = 6,102.74

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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.