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Finding the Fourth Proportional to 9,447.81, 14,167.62 and 2,872.46

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Solution

The fourth proportional to 9,447.81, 14,167.62 and 2,872.46 is: 4,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.81 : 14,167.62 = 2,872.46 : x
  2. Step 2: Convert to fraction form
    9,447.81/14,167.62 = 2,872.46/x
  3. Step 3: Cross multiply
    9,447.81x = 14,167.62 × 2,872.46
  4. Step 4: Simplify right side
    9,447.81x = 40,695,921.75
  5. Step 5: Solve for x
    x = 40,695,921.75/9,447.81
  6. Step 6: Final answer
    x = 4,307.44

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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.