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Finding the Fourth Proportional to 9,292.76, 13,943.22 and 3,756.92

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Solution

The fourth proportional to 9,292.76, 13,943.22 and 3,756.92 is: 5,637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.76 : 13,943.22 = 3,756.92 : x
  2. Step 2: Convert to fraction form
    9,292.76/13,943.22 = 3,756.92/x
  3. Step 3: Cross multiply
    9,292.76x = 13,943.22 × 3,756.92
  4. Step 4: Simplify right side
    9,292.76x = 52,383,492.37
  5. Step 5: Solve for x
    x = 52,383,492.37/9,292.76
  6. Step 6: Final answer
    x = 5,637.03

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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.