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Finding the Fourth Proportional to 9,222.05, 13,852.22 and 8,976.02

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Solution

The fourth proportional to 9,222.05, 13,852.22 and 8,976.02 is: 13,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.05 : 13,852.22 = 8,976.02 : x
  2. Step 2: Convert to fraction form
    9,222.05/13,852.22 = 8,976.02/x
  3. Step 3: Cross multiply
    9,222.05x = 13,852.22 × 8,976.02
  4. Step 4: Simplify right side
    9,222.05x = 124,337,689.62
  5. Step 5: Solve for x
    x = 124,337,689.62/9,222.05
  6. Step 6: Final answer
    x = 13,482.65

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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.