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Finding the Fourth Proportional to 9,192.98, 12,677.49 and 6,174.92

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Solution

The fourth proportional to 9,192.98, 12,677.49 and 6,174.92 is: 8,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.98 : 12,677.49 = 6,174.92 : x
  2. Step 2: Convert to fraction form
    9,192.98/12,677.49 = 6,174.92/x
  3. Step 3: Cross multiply
    9,192.98x = 12,677.49 × 6,174.92
  4. Step 4: Simplify right side
    9,192.98x = 78,282,486.55
  5. Step 5: Solve for x
    x = 78,282,486.55/9,192.98
  6. Step 6: Final answer
    x = 8,515.46

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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.