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Finding the Fourth Proportional to 9,271.96, 13,912.44 and 4,077.16

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Solution

The fourth proportional to 9,271.96, 13,912.44 and 4,077.16 is: 6,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.96 : 13,912.44 = 4,077.16 : x
  2. Step 2: Convert to fraction form
    9,271.96/13,912.44 = 4,077.16/x
  3. Step 3: Cross multiply
    9,271.96x = 13,912.44 × 4,077.16
  4. Step 4: Simplify right side
    9,271.96x = 56,723,243.87
  5. Step 5: Solve for x
    x = 56,723,243.87/9,271.96
  6. Step 6: Final answer
    x = 6,117.72

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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.