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Finding the Fourth Proportional to 9,576.95, 14,365.43 and 3,003.64

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Solution

The fourth proportional to 9,576.95, 14,365.43 and 3,003.64 is: 4,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.95 : 14,365.43 = 3,003.64 : x
  2. Step 2: Convert to fraction form
    9,576.95/14,365.43 = 3,003.64/x
  3. Step 3: Cross multiply
    9,576.95x = 14,365.43 × 3,003.64
  4. Step 4: Simplify right side
    9,576.95x = 43,148,633.06
  5. Step 5: Solve for x
    x = 43,148,633.06/9,576.95
  6. Step 6: Final answer
    x = 4,505.47

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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.