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Finding the Fourth Proportional to 9,342.46, 12,892.12 and 5,805.60

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Solution

The fourth proportional to 9,342.46, 12,892.12 and 5,805.60 is: 8,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.46 : 12,892.12 = 5,805.60 : x
  2. Step 2: Convert to fraction form
    9,342.46/12,892.12 = 5,805.60/x
  3. Step 3: Cross multiply
    9,342.46x = 12,892.12 × 5,805.60
  4. Step 4: Simplify right side
    9,342.46x = 74,846,491.87
  5. Step 5: Solve for x
    x = 74,846,491.87/9,342.46
  6. Step 6: Final answer
    x = 8,011.43

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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.