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Finding the Fourth Proportional to 9,290.96, 12,826.50 and 7,161.84

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Solution

The fourth proportional to 9,290.96, 12,826.50 and 7,161.84 is: 9,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.96 : 12,826.50 = 7,161.84 : x
  2. Step 2: Convert to fraction form
    9,290.96/12,826.50 = 7,161.84/x
  3. Step 3: Cross multiply
    9,290.96x = 12,826.50 × 7,161.84
  4. Step 4: Simplify right side
    9,290.96x = 91,861,340.76
  5. Step 5: Solve for x
    x = 91,861,340.76/9,290.96
  6. Step 6: Final answer
    x = 9,887.17

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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.