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Finding the Fourth Proportional to 9,204.54, 12,697.94 and 5,666.46

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Solution

The fourth proportional to 9,204.54, 12,697.94 and 5,666.46 is: 7,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.54 : 12,697.94 = 5,666.46 : x
  2. Step 2: Convert to fraction form
    9,204.54/12,697.94 = 5,666.46/x
  3. Step 3: Cross multiply
    9,204.54x = 12,697.94 × 5,666.46
  4. Step 4: Simplify right side
    9,204.54x = 71,952,369.09
  5. Step 5: Solve for x
    x = 71,952,369.09/9,204.54
  6. Step 6: Final answer
    x = 7,817.05

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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.