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Finding the Fourth Proportional to 9,217.35, 13,826.03 and 7,359.77

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Solution

The fourth proportional to 9,217.35, 13,826.03 and 7,359.77 is: 11,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.35 : 13,826.03 = 7,359.77 : x
  2. Step 2: Convert to fraction form
    9,217.35/13,826.03 = 7,359.77/x
  3. Step 3: Cross multiply
    9,217.35x = 13,826.03 × 7,359.77
  4. Step 4: Simplify right side
    9,217.35x = 101,756,294.88
  5. Step 5: Solve for x
    x = 101,756,294.88/9,217.35
  6. Step 6: Final answer
    x = 11,039.65

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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.