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Finding the Fourth Proportional to 9,221.45, 13,834.94 and 4,294.04

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Solution

The fourth proportional to 9,221.45, 13,834.94 and 4,294.04 is: 6,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.45 : 13,834.94 = 4,294.04 : x
  2. Step 2: Convert to fraction form
    9,221.45/13,834.94 = 4,294.04/x
  3. Step 3: Cross multiply
    9,221.45x = 13,834.94 × 4,294.04
  4. Step 4: Simplify right side
    9,221.45x = 59,407,695.11
  5. Step 5: Solve for x
    x = 59,407,695.11/9,221.45
  6. Step 6: Final answer
    x = 6,442.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.