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Finding the Fourth Proportional to 9,615.12, 14,427.80 and 3,771.78

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Solution

The fourth proportional to 9,615.12, 14,427.80 and 3,771.78 is: 5,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.12 : 14,427.80 = 3,771.78 : x
  2. Step 2: Convert to fraction form
    9,615.12/14,427.80 = 3,771.78/x
  3. Step 3: Cross multiply
    9,615.12x = 14,427.80 × 3,771.78
  4. Step 4: Simplify right side
    9,615.12x = 54,418,487.48
  5. Step 5: Solve for x
    x = 54,418,487.48/9,615.12
  6. Step 6: Final answer
    x = 5,659.68

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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.