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Finding the Fourth Proportional to 9,419.65, 14,129.68 and 2,399.63

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Solution

The fourth proportional to 9,419.65, 14,129.68 and 2,399.63 is: 3,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.65 : 14,129.68 = 2,399.63 : x
  2. Step 2: Convert to fraction form
    9,419.65/14,129.68 = 2,399.63/x
  3. Step 3: Cross multiply
    9,419.65x = 14,129.68 × 2,399.63
  4. Step 4: Simplify right side
    9,419.65x = 33,906,004.02
  5. Step 5: Solve for x
    x = 33,906,004.02/9,419.65
  6. Step 6: Final answer
    x = 3,599.50

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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.