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Finding the Fourth Proportional to 9,872.43, 14,814.47 and 3,636.82

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Solution

The fourth proportional to 9,872.43, 14,814.47 and 3,636.82 is: 5,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.43 : 14,814.47 = 3,636.82 : x
  2. Step 2: Convert to fraction form
    9,872.43/14,814.47 = 3,636.82/x
  3. Step 3: Cross multiply
    9,872.43x = 14,814.47 × 3,636.82
  4. Step 4: Simplify right side
    9,872.43x = 53,877,560.79
  5. Step 5: Solve for x
    x = 53,877,560.79/9,872.43
  6. Step 6: Final answer
    x = 5,457.38

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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.