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Finding the Fourth Proportional to 9,821.98, 13,559.17 and 7,693.84

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Solution

The fourth proportional to 9,821.98, 13,559.17 and 7,693.84 is: 10,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.98 : 13,559.17 = 7,693.84 : x
  2. Step 2: Convert to fraction form
    9,821.98/13,559.17 = 7,693.84/x
  3. Step 3: Cross multiply
    9,821.98x = 13,559.17 × 7,693.84
  4. Step 4: Simplify right side
    9,821.98x = 104,322,016.72
  5. Step 5: Solve for x
    x = 104,322,016.72/9,821.98
  6. Step 6: Final answer
    x = 10,621.29

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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.