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Finding the Fourth Proportional to 9,510.35, 14,267.84 and 3,270.44

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Solution

The fourth proportional to 9,510.35, 14,267.84 and 3,270.44 is: 4,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.35 : 14,267.84 = 3,270.44 : x
  2. Step 2: Convert to fraction form
    9,510.35/14,267.84 = 3,270.44/x
  3. Step 3: Cross multiply
    9,510.35x = 14,267.84 × 3,270.44
  4. Step 4: Simplify right side
    9,510.35x = 46,662,133.97
  5. Step 5: Solve for x
    x = 46,662,133.97/9,510.35
  6. Step 6: Final answer
    x = 4,906.46

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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.