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Finding the Fourth Proportional to 9,465.33, 14,200.09 and 2,892.03

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Solution

The fourth proportional to 9,465.33, 14,200.09 and 2,892.03 is: 4,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.33 : 14,200.09 = 2,892.03 : x
  2. Step 2: Convert to fraction form
    9,465.33/14,200.09 = 2,892.03/x
  3. Step 3: Cross multiply
    9,465.33x = 14,200.09 × 2,892.03
  4. Step 4: Simplify right side
    9,465.33x = 41,067,079.05
  5. Step 5: Solve for x
    x = 41,067,079.05/9,465.33
  6. Step 6: Final answer
    x = 4,338.68

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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.