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Finding the Fourth Proportional to 9,560.76, 14,327.19 and 6,792.81

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Solution

The fourth proportional to 9,560.76, 14,327.19 and 6,792.81 is: 10,179.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.76 : 14,327.19 = 6,792.81 : x
  2. Step 2: Convert to fraction form
    9,560.76/14,327.19 = 6,792.81/x
  3. Step 3: Cross multiply
    9,560.76x = 14,327.19 × 6,792.81
  4. Step 4: Simplify right side
    9,560.76x = 97,321,879.50
  5. Step 5: Solve for x
    x = 97,321,879.50/9,560.76
  6. Step 6: Final answer
    x = 10,179.30

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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.