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Finding the Fourth Proportional to 8,973.01, 12,382.02 and 5,196.42

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Solution

The fourth proportional to 8,973.01, 12,382.02 and 5,196.42 is: 7,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.01 : 12,382.02 = 5,196.42 : x
  2. Step 2: Convert to fraction form
    8,973.01/12,382.02 = 5,196.42/x
  3. Step 3: Cross multiply
    8,973.01x = 12,382.02 × 5,196.42
  4. Step 4: Simplify right side
    8,973.01x = 64,342,176.37
  5. Step 5: Solve for x
    x = 64,342,176.37/8,973.01
  6. Step 6: Final answer
    x = 7,170.63

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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.