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Finding the Fourth Proportional to 9,220.52, 13,828.86 and 2,981.12

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Solution

The fourth proportional to 9,220.52, 13,828.86 and 2,981.12 is: 4,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.52 : 13,828.86 = 2,981.12 : x
  2. Step 2: Convert to fraction form
    9,220.52/13,828.86 = 2,981.12/x
  3. Step 3: Cross multiply
    9,220.52x = 13,828.86 × 2,981.12
  4. Step 4: Simplify right side
    9,220.52x = 41,225,491.12
  5. Step 5: Solve for x
    x = 41,225,491.12/9,220.52
  6. Step 6: Final answer
    x = 4,471.06

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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.