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Finding the Fourth Proportional to 7,184.46, 9,914.46 and 4,040.65

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Solution

The fourth proportional to 7,184.46, 9,914.46 and 4,040.65 is: 5,576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.46 : 9,914.46 = 4,040.65 : x
  2. Step 2: Convert to fraction form
    7,184.46/9,914.46 = 4,040.65/x
  3. Step 3: Cross multiply
    7,184.46x = 9,914.46 × 4,040.65
  4. Step 4: Simplify right side
    7,184.46x = 40,060,793.02
  5. Step 5: Solve for x
    x = 40,060,793.02/7,184.46
  6. Step 6: Final answer
    x = 5,576.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.