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Finding the Fourth Proportional to 9,302.64, 13,954.56 and 4,108.50

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Solution

The fourth proportional to 9,302.64, 13,954.56 and 4,108.50 is: 6,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.64 : 13,954.56 = 4,108.50 : x
  2. Step 2: Convert to fraction form
    9,302.64/13,954.56 = 4,108.50/x
  3. Step 3: Cross multiply
    9,302.64x = 13,954.56 × 4,108.50
  4. Step 4: Simplify right side
    9,302.64x = 57,332,309.76
  5. Step 5: Solve for x
    x = 57,332,309.76/9,302.64
  6. Step 6: Final answer
    x = 6,163.01

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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.