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Finding the Fourth Proportional to 9,409.38, 14,115.90 and 2,835.24

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Solution

The fourth proportional to 9,409.38, 14,115.90 and 2,835.24 is: 4,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.38 : 14,115.90 = 2,835.24 : x
  2. Step 2: Convert to fraction form
    9,409.38/14,115.90 = 2,835.24/x
  3. Step 3: Cross multiply
    9,409.38x = 14,115.90 × 2,835.24
  4. Step 4: Simplify right side
    9,409.38x = 40,021,964.32
  5. Step 5: Solve for x
    x = 40,021,964.32/9,409.38
  6. Step 6: Final answer
    x = 4,253.41

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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.