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Finding the Fourth Proportional to 9,512.73, 14,264.97 and 7,323

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Solution

The fourth proportional to 9,512.73, 14,264.97 and 7,323 is: 10,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.73 : 14,264.97 = 7,323 : x
  2. Step 2: Convert to fraction form
    9,512.73/14,264.97 = 7,323/x
  3. Step 3: Cross multiply
    9,512.73x = 14,264.97 × 7,323
  4. Step 4: Simplify right side
    9,512.73x = 104,462,375.31
  5. Step 5: Solve for x
    x = 104,462,375.31/9,512.73
  6. Step 6: Final answer
    x = 10,981.32

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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.