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Finding the Fourth Proportional to 9,706.86, 13,396.91 and 5,932.20

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Solution

The fourth proportional to 9,706.86, 13,396.91 and 5,932.20 is: 8,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.86 : 13,396.91 = 5,932.20 : x
  2. Step 2: Convert to fraction form
    9,706.86/13,396.91 = 5,932.20/x
  3. Step 3: Cross multiply
    9,706.86x = 13,396.91 × 5,932.20
  4. Step 4: Simplify right side
    9,706.86x = 79,473,119.84
  5. Step 5: Solve for x
    x = 79,473,119.84/9,706.86
  6. Step 6: Final answer
    x = 8,187.31

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1.5x scale

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.