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Finding the Fourth Proportional to 9,791.82, 14,594.40 and 9,238.32

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Solution

The fourth proportional to 9,791.82, 14,594.40 and 9,238.32 is: 13,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.82 : 14,594.40 = 9,238.32 : x
  2. Step 2: Convert to fraction form
    9,791.82/14,594.40 = 9,238.32/x
  3. Step 3: Cross multiply
    9,791.82x = 14,594.40 × 9,238.32
  4. Step 4: Simplify right side
    9,791.82x = 134,827,737.41
  5. Step 5: Solve for x
    x = 134,827,737.41/9,791.82
  6. Step 6: Final answer
    x = 13,769.43

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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.