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Finding the Fourth Proportional to 9,496.31, 14,243.22 and 2,922.35

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Solution

The fourth proportional to 9,496.31, 14,243.22 and 2,922.35 is: 4,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.31 : 14,243.22 = 2,922.35 : x
  2. Step 2: Convert to fraction form
    9,496.31/14,243.22 = 2,922.35/x
  3. Step 3: Cross multiply
    9,496.31x = 14,243.22 × 2,922.35
  4. Step 4: Simplify right side
    9,496.31x = 41,623,602.75
  5. Step 5: Solve for x
    x = 41,623,602.75/9,496.31
  6. Step 6: Final answer
    x = 4,383.14

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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.