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Finding the Fourth Proportional to 9,162.43, 13,720.39 and 7,677.75

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Solution

The fourth proportional to 9,162.43, 13,720.39 and 7,677.75 is: 11,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.43 : 13,720.39 = 7,677.75 : x
  2. Step 2: Convert to fraction form
    9,162.43/13,720.39 = 7,677.75/x
  3. Step 3: Cross multiply
    9,162.43x = 13,720.39 × 7,677.75
  4. Step 4: Simplify right side
    9,162.43x = 105,341,651.63
  5. Step 5: Solve for x
    x = 105,341,651.63/9,162.43
  6. Step 6: Final answer
    x = 11,497.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.