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Finding the Fourth Proportional to 9,343.85, 14,011.62 and 4,960.31

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Solution

The fourth proportional to 9,343.85, 14,011.62 and 4,960.31 is: 7,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.85 : 14,011.62 = 4,960.31 : x
  2. Step 2: Convert to fraction form
    9,343.85/14,011.62 = 4,960.31/x
  3. Step 3: Cross multiply
    9,343.85x = 14,011.62 × 4,960.31
  4. Step 4: Simplify right side
    9,343.85x = 69,501,978.80
  5. Step 5: Solve for x
    x = 69,501,978.80/9,343.85
  6. Step 6: Final answer
    x = 7,438.26

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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.