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Finding the Fourth Proportional to 9,282.36, 12,805.17 and 6,094.41

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Solution

The fourth proportional to 9,282.36, 12,805.17 and 6,094.41 is: 8,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.36 : 12,805.17 = 6,094.41 : x
  2. Step 2: Convert to fraction form
    9,282.36/12,805.17 = 6,094.41/x
  3. Step 3: Cross multiply
    9,282.36x = 12,805.17 × 6,094.41
  4. Step 4: Simplify right side
    9,282.36x = 78,039,956.10
  5. Step 5: Solve for x
    x = 78,039,956.10/9,282.36
  6. Step 6: Final answer
    x = 8,407.34

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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.