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Finding the Fourth Proportional to 9,295.14, 12,822.54 and 5,934.42

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Solution

The fourth proportional to 9,295.14, 12,822.54 and 5,934.42 is: 8,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.14 : 12,822.54 = 5,934.42 : x
  2. Step 2: Convert to fraction form
    9,295.14/12,822.54 = 5,934.42/x
  3. Step 3: Cross multiply
    9,295.14x = 12,822.54 × 5,934.42
  4. Step 4: Simplify right side
    9,295.14x = 76,094,349.62
  5. Step 5: Solve for x
    x = 76,094,349.62/9,295.14
  6. Step 6: Final answer
    x = 8,186.47

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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.