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Finding the Fourth Proportional to 9,776.80, 14,662.91 and 4,508.53

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Solution

The fourth proportional to 9,776.80, 14,662.91 and 4,508.53 is: 6,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.80 : 14,662.91 = 4,508.53 : x
  2. Step 2: Convert to fraction form
    9,776.80/14,662.91 = 4,508.53/x
  3. Step 3: Cross multiply
    9,776.80x = 14,662.91 × 4,508.53
  4. Step 4: Simplify right side
    9,776.80x = 66,108,118.88
  5. Step 5: Solve for x
    x = 66,108,118.88/9,776.80
  6. Step 6: Final answer
    x = 6,761.73

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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.