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Finding the Fourth Proportional to 10,285.80, 14,241.06 and 9,767.40

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Solution

The fourth proportional to 10,285.80, 14,241.06 and 9,767.40 is: 13,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.80 : 14,241.06 = 9,767.40 : x
  2. Step 2: Convert to fraction form
    10,285.80/14,241.06 = 9,767.40/x
  3. Step 3: Cross multiply
    10,285.80x = 14,241.06 × 9,767.40
  4. Step 4: Simplify right side
    10,285.80x = 139,098,129.44
  5. Step 5: Solve for x
    x = 139,098,129.44/10,285.80
  6. Step 6: Final answer
    x = 13,523.32

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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.