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Finding the Fourth Proportional to 9,188.96, 12,675.62 and 5,651.48

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Solution

The fourth proportional to 9,188.96, 12,675.62 and 5,651.48 is: 7,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.96 : 12,675.62 = 5,651.48 : x
  2. Step 2: Convert to fraction form
    9,188.96/12,675.62 = 5,651.48/x
  3. Step 3: Cross multiply
    9,188.96x = 12,675.62 × 5,651.48
  4. Step 4: Simplify right side
    9,188.96x = 71,636,012.92
  5. Step 5: Solve for x
    x = 71,636,012.92/9,188.96
  6. Step 6: Final answer
    x = 7,795.88

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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.