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Finding the Fourth Proportional to 9,447.96, 14,167.08 and 4,251

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Solution

The fourth proportional to 9,447.96, 14,167.08 and 4,251 is: 6,374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.96 : 14,167.08 = 4,251 : x
  2. Step 2: Convert to fraction form
    9,447.96/14,167.08 = 4,251/x
  3. Step 3: Cross multiply
    9,447.96x = 14,167.08 × 4,251
  4. Step 4: Simplify right side
    9,447.96x = 60,224,257.08
  5. Step 5: Solve for x
    x = 60,224,257.08/9,447.96
  6. Step 6: Final answer
    x = 6,374.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.