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Finding the Fourth Proportional to 9,047.41, 13,573.14 and 3,204.49

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Solution

The fourth proportional to 9,047.41, 13,573.14 and 3,204.49 is: 4,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.41 : 13,573.14 = 3,204.49 : x
  2. Step 2: Convert to fraction form
    9,047.41/13,573.14 = 3,204.49/x
  3. Step 3: Cross multiply
    9,047.41x = 13,573.14 × 3,204.49
  4. Step 4: Simplify right side
    9,047.41x = 43,494,991.40
  5. Step 5: Solve for x
    x = 43,494,991.40/9,047.41
  6. Step 6: Final answer
    x = 4,807.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.