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Finding the Fourth Proportional to 6,980.08, 9,641.06 and 5,219.52

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Solution

The fourth proportional to 6,980.08, 9,641.06 and 5,219.52 is: 7,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.08 : 9,641.06 = 5,219.52 : x
  2. Step 2: Convert to fraction form
    6,980.08/9,641.06 = 5,219.52/x
  3. Step 3: Cross multiply
    6,980.08x = 9,641.06 × 5,219.52
  4. Step 4: Simplify right side
    6,980.08x = 50,321,705.49
  5. Step 5: Solve for x
    x = 50,321,705.49/6,980.08
  6. Step 6: Final answer
    x = 7,209.33

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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.