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Finding the Fourth Proportional to 9,172.96, 12,658.29 and 5,193.82

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Solution

The fourth proportional to 9,172.96, 12,658.29 and 5,193.82 is: 7,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.96 : 12,658.29 = 5,193.82 : x
  2. Step 2: Convert to fraction form
    9,172.96/12,658.29 = 5,193.82/x
  3. Step 3: Cross multiply
    9,172.96x = 12,658.29 × 5,193.82
  4. Step 4: Simplify right side
    9,172.96x = 65,744,879.77
  5. Step 5: Solve for x
    x = 65,744,879.77/9,172.96
  6. Step 6: Final answer
    x = 7,167.25

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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.