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Finding the Fourth Proportional to 9,614, 13,268.14 and 5,423.06

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Solution

The fourth proportional to 9,614, 13,268.14 and 5,423.06 is: 7,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614 : 13,268.14 = 5,423.06 : x
  2. Step 2: Convert to fraction form
    9,614/13,268.14 = 5,423.06/x
  3. Step 3: Cross multiply
    9,614x = 13,268.14 × 5,423.06
  4. Step 4: Simplify right side
    9,614x = 71,953,919.31
  5. Step 5: Solve for x
    x = 71,953,919.31/9,614
  6. Step 6: Final answer
    x = 7,484.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.