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Finding the Fourth Proportional to 9,356.33, 14,029.80 and 3,114.14

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Solution

The fourth proportional to 9,356.33, 14,029.80 and 3,114.14 is: 4,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.33 : 14,029.80 = 3,114.14 : x
  2. Step 2: Convert to fraction form
    9,356.33/14,029.80 = 3,114.14/x
  3. Step 3: Cross multiply
    9,356.33x = 14,029.80 × 3,114.14
  4. Step 4: Simplify right side
    9,356.33x = 43,690,761.37
  5. Step 5: Solve for x
    x = 43,690,761.37/9,356.33
  6. Step 6: Final answer
    x = 4,669.65

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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.