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Finding the Fourth Proportional to 9,205.38, 13,809.15 and 4,014.90

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Solution

The fourth proportional to 9,205.38, 13,809.15 and 4,014.90 is: 6,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.38 : 13,809.15 = 4,014.90 : x
  2. Step 2: Convert to fraction form
    9,205.38/13,809.15 = 4,014.90/x
  3. Step 3: Cross multiply
    9,205.38x = 13,809.15 × 4,014.90
  4. Step 4: Simplify right side
    9,205.38x = 55,442,356.34
  5. Step 5: Solve for x
    x = 55,442,356.34/9,205.38
  6. Step 6: Final answer
    x = 6,022.82

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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.