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Finding the Fourth Proportional to 9,614.31, 14,421.36 and 3,040.49

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Solution

The fourth proportional to 9,614.31, 14,421.36 and 3,040.49 is: 4,560.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.31 : 14,421.36 = 3,040.49 : x
  2. Step 2: Convert to fraction form
    9,614.31/14,421.36 = 3,040.49/x
  3. Step 3: Cross multiply
    9,614.31x = 14,421.36 × 3,040.49
  4. Step 4: Simplify right side
    9,614.31x = 43,848,000.87
  5. Step 5: Solve for x
    x = 43,848,000.87/9,614.31
  6. Step 6: Final answer
    x = 4,560.70

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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.