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Finding the Fourth Proportional to 9,750.21, 14,626.23 and 2,730.22

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Solution

The fourth proportional to 9,750.21, 14,626.23 and 2,730.22 is: 4,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.21 : 14,626.23 = 2,730.22 : x
  2. Step 2: Convert to fraction form
    9,750.21/14,626.23 = 2,730.22/x
  3. Step 3: Cross multiply
    9,750.21x = 14,626.23 × 2,730.22
  4. Step 4: Simplify right side
    9,750.21x = 39,932,778.87
  5. Step 5: Solve for x
    x = 39,932,778.87/9,750.21
  6. Step 6: Final answer
    x = 4,095.58

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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.