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Finding the Fourth Proportional to 9,446.52, 14,168.86 and 2,872.77

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Solution

The fourth proportional to 9,446.52, 14,168.86 and 2,872.77 is: 4,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.52 : 14,168.86 = 2,872.77 : x
  2. Step 2: Convert to fraction form
    9,446.52/14,168.86 = 2,872.77/x
  3. Step 3: Cross multiply
    9,446.52x = 14,168.86 × 2,872.77
  4. Step 4: Simplify right side
    9,446.52x = 40,703,875.94
  5. Step 5: Solve for x
    x = 40,703,875.94/9,446.52
  6. Step 6: Final answer
    x = 4,308.88

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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.