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Finding the Fourth Proportional to 9,281.92, 13,922.70 and 2,261.96

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Solution

The fourth proportional to 9,281.92, 13,922.70 and 2,261.96 is: 3,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.92 : 13,922.70 = 2,261.96 : x
  2. Step 2: Convert to fraction form
    9,281.92/13,922.70 = 2,261.96/x
  3. Step 3: Cross multiply
    9,281.92x = 13,922.70 × 2,261.96
  4. Step 4: Simplify right side
    9,281.92x = 31,492,590.49
  5. Step 5: Solve for x
    x = 31,492,590.49/9,281.92
  6. Step 6: Final answer
    x = 3,392.90

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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.