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Finding the Fourth Proportional to 9,468.43, 14,202.12 and 2,894.61

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Solution

The fourth proportional to 9,468.43, 14,202.12 and 2,894.61 is: 4,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.43 : 14,202.12 = 2,894.61 : x
  2. Step 2: Convert to fraction form
    9,468.43/14,202.12 = 2,894.61/x
  3. Step 3: Cross multiply
    9,468.43x = 14,202.12 × 2,894.61
  4. Step 4: Simplify right side
    9,468.43x = 41,109,598.57
  5. Step 5: Solve for x
    x = 41,109,598.57/9,468.43
  6. Step 6: Final answer
    x = 4,341.76

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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.