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Finding the Fourth Proportional to 9,390.32, 12,959.52 and 5,199.92

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Solution

The fourth proportional to 9,390.32, 12,959.52 and 5,199.92 is: 7,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.32 : 12,959.52 = 5,199.92 : x
  2. Step 2: Convert to fraction form
    9,390.32/12,959.52 = 5,199.92/x
  3. Step 3: Cross multiply
    9,390.32x = 12,959.52 × 5,199.92
  4. Step 4: Simplify right side
    9,390.32x = 67,388,467.24
  5. Step 5: Solve for x
    x = 67,388,467.24/9,390.32
  6. Step 6: Final answer
    x = 7,176.38

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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.