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Finding the Fourth Proportional to 9,453.96, 14,176.08 and 4,257

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Solution

The fourth proportional to 9,453.96, 14,176.08 and 4,257 is: 6,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.96 : 14,176.08 = 4,257 : x
  2. Step 2: Convert to fraction form
    9,453.96/14,176.08 = 4,257/x
  3. Step 3: Cross multiply
    9,453.96x = 14,176.08 × 4,257
  4. Step 4: Simplify right side
    9,453.96x = 60,347,572.56
  5. Step 5: Solve for x
    x = 60,347,572.56/9,453.96
  6. Step 6: Final answer
    x = 6,383.31

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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.