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Finding the Fourth Proportional to 9,170.27, 12,655.41 and 5,192.63

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Solution

The fourth proportional to 9,170.27, 12,655.41 and 5,192.63 is: 7,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.27 : 12,655.41 = 5,192.63 : x
  2. Step 2: Convert to fraction form
    9,170.27/12,655.41 = 5,192.63/x
  3. Step 3: Cross multiply
    9,170.27x = 12,655.41 × 5,192.63
  4. Step 4: Simplify right side
    9,170.27x = 65,714,861.63
  5. Step 5: Solve for x
    x = 65,714,861.63/9,170.27
  6. Step 6: Final answer
    x = 7,166.08

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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.