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Finding the Fourth Proportional to 6,980.58, 9,629.92 and 4,148.04

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Solution

The fourth proportional to 6,980.58, 9,629.92 and 4,148.04 is: 5,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.58 : 9,629.92 = 4,148.04 : x
  2. Step 2: Convert to fraction form
    6,980.58/9,629.92 = 4,148.04/x
  3. Step 3: Cross multiply
    6,980.58x = 9,629.92 × 4,148.04
  4. Step 4: Simplify right side
    6,980.58x = 39,945,293.36
  5. Step 5: Solve for x
    x = 39,945,293.36/6,980.58
  6. Step 6: Final answer
    x = 5,722.35

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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.