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Finding the Fourth Proportional to 9,309.74, 13,964.81 and 3,762.05

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Solution

The fourth proportional to 9,309.74, 13,964.81 and 3,762.05 is: 5,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.74 : 13,964.81 = 3,762.05 : x
  2. Step 2: Convert to fraction form
    9,309.74/13,964.81 = 3,762.05/x
  3. Step 3: Cross multiply
    9,309.74x = 13,964.81 × 3,762.05
  4. Step 4: Simplify right side
    9,309.74x = 52,536,224.83
  5. Step 5: Solve for x
    x = 52,536,224.83/9,309.74
  6. Step 6: Final answer
    x = 5,643.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.