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Finding the Fourth Proportional to 9,286.56, 13,908.16 and 8,064

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Solution

The fourth proportional to 9,286.56, 13,908.16 and 8,064 is: 12,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.56 : 13,908.16 = 8,064 : x
  2. Step 2: Convert to fraction form
    9,286.56/13,908.16 = 8,064/x
  3. Step 3: Cross multiply
    9,286.56x = 13,908.16 × 8,064
  4. Step 4: Simplify right side
    9,286.56x = 112,155,402.24
  5. Step 5: Solve for x
    x = 112,155,402.24/9,286.56
  6. Step 6: Final answer
    x = 12,077.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.