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Finding the Fourth Proportional to 10,273.96, 14,179.20 and 6,294.16

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Solution

The fourth proportional to 10,273.96, 14,179.20 and 6,294.16 is: 8,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.96 : 14,179.20 = 6,294.16 : x
  2. Step 2: Convert to fraction form
    10,273.96/14,179.20 = 6,294.16/x
  3. Step 3: Cross multiply
    10,273.96x = 14,179.20 × 6,294.16
  4. Step 4: Simplify right side
    10,273.96x = 89,246,153.47
  5. Step 5: Solve for x
    x = 89,246,153.47/10,273.96
  6. Step 6: Final answer
    x = 8,686.64

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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.