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Finding the Fourth Proportional to 10,285.95, 14,179.74 and 6,743.01

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Solution

The fourth proportional to 10,285.95, 14,179.74 and 6,743.01 is: 9,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.95 : 14,179.74 = 6,743.01 : x
  2. Step 2: Convert to fraction form
    10,285.95/14,179.74 = 6,743.01/x
  3. Step 3: Cross multiply
    10,285.95x = 14,179.74 × 6,743.01
  4. Step 4: Simplify right side
    10,285.95x = 95,614,128.62
  5. Step 5: Solve for x
    x = 95,614,128.62/10,285.95
  6. Step 6: Final answer
    x = 9,295.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.