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Finding the Fourth Proportional to 9,672.92, 14,513.46 and 4,127.48

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Solution

The fourth proportional to 9,672.92, 14,513.46 and 4,127.48 is: 6,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.92 : 14,513.46 = 4,127.48 : x
  2. Step 2: Convert to fraction form
    9,672.92/14,513.46 = 4,127.48/x
  3. Step 3: Cross multiply
    9,672.92x = 14,513.46 × 4,127.48
  4. Step 4: Simplify right side
    9,672.92x = 59,904,015.88
  5. Step 5: Solve for x
    x = 59,904,015.88/9,672.92
  6. Step 6: Final answer
    x = 6,192.96

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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.