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Finding the Fourth Proportional to 9,224.36, 13,835.51 and 3,301.00

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Solution

The fourth proportional to 9,224.36, 13,835.51 and 3,301.00 is: 4,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.36 : 13,835.51 = 3,301.00 : x
  2. Step 2: Convert to fraction form
    9,224.36/13,835.51 = 3,301.00/x
  3. Step 3: Cross multiply
    9,224.36x = 13,835.51 × 3,301.00
  4. Step 4: Simplify right side
    9,224.36x = 45,671,057.62
  5. Step 5: Solve for x
    x = 45,671,057.62/9,224.36
  6. Step 6: Final answer
    x = 4,951.14

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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.