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Finding the Fourth Proportional to 9,802.98, 13,520.91 and 6,219.03

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Solution

The fourth proportional to 9,802.98, 13,520.91 and 6,219.03 is: 8,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.98 : 13,520.91 = 6,219.03 : x
  2. Step 2: Convert to fraction form
    9,802.98/13,520.91 = 6,219.03/x
  3. Step 3: Cross multiply
    9,802.98x = 13,520.91 × 6,219.03
  4. Step 4: Simplify right side
    9,802.98x = 84,086,944.92
  5. Step 5: Solve for x
    x = 84,086,944.92/9,802.98
  6. Step 6: Final answer
    x = 8,577.69

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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.