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Finding the Fourth Proportional to 9,281.76, 13,912.89 and 3,040.16

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Solution

The fourth proportional to 9,281.76, 13,912.89 and 3,040.16 is: 4,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.76 : 13,912.89 = 3,040.16 : x
  2. Step 2: Convert to fraction form
    9,281.76/13,912.89 = 3,040.16/x
  3. Step 3: Cross multiply
    9,281.76x = 13,912.89 × 3,040.16
  4. Step 4: Simplify right side
    9,281.76x = 42,297,378.38
  5. Step 5: Solve for x
    x = 42,297,378.38/9,281.76
  6. Step 6: Final answer
    x = 4,557.04

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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.