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Finding the Fourth Proportional to 9,195.32, 12,689.22 and 5,216.36

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Solution

The fourth proportional to 9,195.32, 12,689.22 and 5,216.36 is: 7,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.32 : 12,689.22 = 5,216.36 : x
  2. Step 2: Convert to fraction form
    9,195.32/12,689.22 = 5,216.36/x
  3. Step 3: Cross multiply
    9,195.32x = 12,689.22 × 5,216.36
  4. Step 4: Simplify right side
    9,195.32x = 66,191,539.64
  5. Step 5: Solve for x
    x = 66,191,539.64/9,195.32
  6. Step 6: Final answer
    x = 7,198.39

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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.