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Finding the Fourth Proportional to 9,825.73, 13,555.49 and 6,047.76

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Solution

The fourth proportional to 9,825.73, 13,555.49 and 6,047.76 is: 8,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.73 : 13,555.49 = 6,047.76 : x
  2. Step 2: Convert to fraction form
    9,825.73/13,555.49 = 6,047.76/x
  3. Step 3: Cross multiply
    9,825.73x = 13,555.49 × 6,047.76
  4. Step 4: Simplify right side
    9,825.73x = 81,980,282.42
  5. Step 5: Solve for x
    x = 81,980,282.42/9,825.73
  6. Step 6: Final answer
    x = 8,343.43

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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.