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Finding the Fourth Proportional to 9,445.43, 14,167.80 and 3,894.61

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Solution

The fourth proportional to 9,445.43, 14,167.80 and 3,894.61 is: 5,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.43 : 14,167.80 = 3,894.61 : x
  2. Step 2: Convert to fraction form
    9,445.43/14,167.80 = 3,894.61/x
  3. Step 3: Cross multiply
    9,445.43x = 14,167.80 × 3,894.61
  4. Step 4: Simplify right side
    9,445.43x = 55,178,055.56
  5. Step 5: Solve for x
    x = 55,178,055.56/9,445.43
  6. Step 6: Final answer
    x = 5,841.77

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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.