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Finding the Fourth Proportional to 9,500.77, 14,254.04 and 6,732.80

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Solution

The fourth proportional to 9,500.77, 14,254.04 and 6,732.80 is: 10,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.77 : 14,254.04 = 6,732.80 : x
  2. Step 2: Convert to fraction form
    9,500.77/14,254.04 = 6,732.80/x
  3. Step 3: Cross multiply
    9,500.77x = 14,254.04 × 6,732.80
  4. Step 4: Simplify right side
    9,500.77x = 95,969,617.34
  5. Step 5: Solve for x
    x = 95,969,617.34/9,500.77
  6. Step 6: Final answer
    x = 10,101.24

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