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Finding the Fourth Proportional to 6,282.32, 9,468.63 and 5,415.28

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Solution

The fourth proportional to 6,282.32, 9,468.63 and 5,415.28 is: 8,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.32 : 9,468.63 = 5,415.28 : x
  2. Step 2: Convert to fraction form
    6,282.32/9,468.63 = 5,415.28/x
  3. Step 3: Cross multiply
    6,282.32x = 9,468.63 × 5,415.28
  4. Step 4: Simplify right side
    6,282.32x = 51,275,341.44
  5. Step 5: Solve for x
    x = 51,275,341.44/6,282.32
  6. Step 6: Final answer
    x = 8,161.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.