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Finding the Fourth Proportional to 9,878.22, 13,635.72 and 6,102

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Solution

The fourth proportional to 9,878.22, 13,635.72 and 6,102 is: 8,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.22 : 13,635.72 = 6,102 : x
  2. Step 2: Convert to fraction form
    9,878.22/13,635.72 = 6,102/x
  3. Step 3: Cross multiply
    9,878.22x = 13,635.72 × 6,102
  4. Step 4: Simplify right side
    9,878.22x = 83,205,163.44
  5. Step 5: Solve for x
    x = 83,205,163.44/9,878.22
  6. Step 6: Final answer
    x = 8,423.09

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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.