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Finding the Fourth Proportional to 6,615.36, 9,129.45 and 3,783.20

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Solution

The fourth proportional to 6,615.36, 9,129.45 and 3,783.20 is: 5,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.36 : 9,129.45 = 3,783.20 : x
  2. Step 2: Convert to fraction form
    6,615.36/9,129.45 = 3,783.20/x
  3. Step 3: Cross multiply
    6,615.36x = 9,129.45 × 3,783.20
  4. Step 4: Simplify right side
    6,615.36x = 34,538,489.59
  5. Step 5: Solve for x
    x = 34,538,489.59/6,615.36
  6. Step 6: Final answer
    x = 5,220.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.