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Finding the Fourth Proportional to 9,271.36, 13,908.90 and 4,077.24

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Solution

The fourth proportional to 9,271.36, 13,908.90 and 4,077.24 is: 6,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.36 : 13,908.90 = 4,077.24 : x
  2. Step 2: Convert to fraction form
    9,271.36/13,908.90 = 4,077.24/x
  3. Step 3: Cross multiply
    9,271.36x = 13,908.90 × 4,077.24
  4. Step 4: Simplify right side
    9,271.36x = 56,709,923.44
  5. Step 5: Solve for x
    x = 56,709,923.44/9,271.36
  6. Step 6: Final answer
    x = 6,116.68

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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.