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Finding the Fourth Proportional to 9,772.82, 14,652.27 and 4,575.86

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Solution

The fourth proportional to 9,772.82, 14,652.27 and 4,575.86 is: 6,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.82 : 14,652.27 = 4,575.86 : x
  2. Step 2: Convert to fraction form
    9,772.82/14,652.27 = 4,575.86/x
  3. Step 3: Cross multiply
    9,772.82x = 14,652.27 × 4,575.86
  4. Step 4: Simplify right side
    9,772.82x = 67,046,736.20
  5. Step 5: Solve for x
    x = 67,046,736.20/9,772.82
  6. Step 6: Final answer
    x = 6,860.53

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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.