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Finding the Fourth Proportional to 9,486.54, 14,232.54 and 3,938.85

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Solution

The fourth proportional to 9,486.54, 14,232.54 and 3,938.85 is: 5,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.54 : 14,232.54 = 3,938.85 : x
  2. Step 2: Convert to fraction form
    9,486.54/14,232.54 = 3,938.85/x
  3. Step 3: Cross multiply
    9,486.54x = 14,232.54 × 3,938.85
  4. Step 4: Simplify right side
    9,486.54x = 56,059,840.18
  5. Step 5: Solve for x
    x = 56,059,840.18/9,486.54
  6. Step 6: Final answer
    x = 5,909.41

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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.