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Finding the Fourth Proportional to 9,409.92, 14,114.89 and 2,390.46

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Solution

The fourth proportional to 9,409.92, 14,114.89 and 2,390.46 is: 3,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.92 : 14,114.89 = 2,390.46 : x
  2. Step 2: Convert to fraction form
    9,409.92/14,114.89 = 2,390.46/x
  3. Step 3: Cross multiply
    9,409.92x = 14,114.89 × 2,390.46
  4. Step 4: Simplify right side
    9,409.92x = 33,741,079.95
  5. Step 5: Solve for x
    x = 33,741,079.95/9,409.92
  6. Step 6: Final answer
    x = 3,585.69

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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.