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Finding the Fourth Proportional to 9,426.39, 13,009.02 and 5,234.64

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Solution

The fourth proportional to 9,426.39, 13,009.02 and 5,234.64 is: 7,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.39 : 13,009.02 = 5,234.64 : x
  2. Step 2: Convert to fraction form
    9,426.39/13,009.02 = 5,234.64/x
  3. Step 3: Cross multiply
    9,426.39x = 13,009.02 × 5,234.64
  4. Step 4: Simplify right side
    9,426.39x = 68,097,536.45
  5. Step 5: Solve for x
    x = 68,097,536.45/9,426.39
  6. Step 6: Final answer
    x = 7,224.14

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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.