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Finding the Fourth Proportional to 9,617.94, 14,414.76 and 8,192.34

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Solution

The fourth proportional to 9,617.94, 14,414.76 and 8,192.34 is: 12,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.94 : 14,414.76 = 8,192.34 : x
  2. Step 2: Convert to fraction form
    9,617.94/14,414.76 = 8,192.34/x
  3. Step 3: Cross multiply
    9,617.94x = 14,414.76 × 8,192.34
  4. Step 4: Simplify right side
    9,617.94x = 118,090,614.94
  5. Step 5: Solve for x
    x = 118,090,614.94/9,617.94
  6. Step 6: Final answer
    x = 12,278.16

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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.