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Finding the Fourth Proportional to 9,171.41, 12,656.30 and 5,192.90

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Solution

The fourth proportional to 9,171.41, 12,656.30 and 5,192.90 is: 7,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.41 : 12,656.30 = 5,192.90 : x
  2. Step 2: Convert to fraction form
    9,171.41/12,656.30 = 5,192.90/x
  3. Step 3: Cross multiply
    9,171.41x = 12,656.30 × 5,192.90
  4. Step 4: Simplify right side
    9,171.41x = 65,722,811.02
  5. Step 5: Solve for x
    x = 65,722,811.02/9,171.41
  6. Step 6: Final answer
    x = 7,166.06

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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.