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Finding the Fourth Proportional to 9,349.67, 13,956.09 and 8,242.49

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Solution

The fourth proportional to 9,349.67, 13,956.09 and 8,242.49 is: 12,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.67 : 13,956.09 = 8,242.49 : x
  2. Step 2: Convert to fraction form
    9,349.67/13,956.09 = 8,242.49/x
  3. Step 3: Cross multiply
    9,349.67x = 13,956.09 × 8,242.49
  4. Step 4: Simplify right side
    9,349.67x = 115,032,932.26
  5. Step 5: Solve for x
    x = 115,032,932.26/9,349.67
  6. Step 6: Final answer
    x = 12,303.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.