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Finding the Fourth Proportional to 9,134.34, 13,703.61 and 2,894.34

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Solution

The fourth proportional to 9,134.34, 13,703.61 and 2,894.34 is: 4,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.34 : 13,703.61 = 2,894.34 : x
  2. Step 2: Convert to fraction form
    9,134.34/13,703.61 = 2,894.34/x
  3. Step 3: Cross multiply
    9,134.34x = 13,703.61 × 2,894.34
  4. Step 4: Simplify right side
    9,134.34x = 39,662,906.57
  5. Step 5: Solve for x
    x = 39,662,906.57/9,134.34
  6. Step 6: Final answer
    x = 4,342.18

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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.