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Finding the Fourth Proportional to 6,276.92, 9,421.50 and 2,992.28

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Solution

The fourth proportional to 6,276.92, 9,421.50 and 2,992.28 is: 4,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.92 : 9,421.50 = 2,992.28 : x
  2. Step 2: Convert to fraction form
    6,276.92/9,421.50 = 2,992.28/x
  3. Step 3: Cross multiply
    6,276.92x = 9,421.50 × 2,992.28
  4. Step 4: Simplify right side
    6,276.92x = 28,191,766.02
  5. Step 5: Solve for x
    x = 28,191,766.02/6,276.92
  6. Step 6: Final answer
    x = 4,491.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.