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Finding the Fourth Proportional to 9,615.12, 14,421.60 and 3,040.80

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Solution

The fourth proportional to 9,615.12, 14,421.60 and 3,040.80 is: 4,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.12 : 14,421.60 = 3,040.80 : x
  2. Step 2: Convert to fraction form
    9,615.12/14,421.60 = 3,040.80/x
  3. Step 3: Cross multiply
    9,615.12x = 14,421.60 × 3,040.80
  4. Step 4: Simplify right side
    9,615.12x = 43,853,201.28
  5. Step 5: Solve for x
    x = 43,853,201.28/9,615.12
  6. Step 6: Final answer
    x = 4,560.86

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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.