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Finding the Fourth Proportional to 9,628.84, 14,443.22 and 5,237.06

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Solution

The fourth proportional to 9,628.84, 14,443.22 and 5,237.06 is: 7,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.84 : 14,443.22 = 5,237.06 : x
  2. Step 2: Convert to fraction form
    9,628.84/14,443.22 = 5,237.06/x
  3. Step 3: Cross multiply
    9,628.84x = 14,443.22 × 5,237.06
  4. Step 4: Simplify right side
    9,628.84x = 75,640,009.73
  5. Step 5: Solve for x
    x = 75,640,009.73/9,628.84
  6. Step 6: Final answer
    x = 7,855.57

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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.