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Finding the Fourth Proportional to 9,705.57, 14,536.47 and 6,796.86

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Solution

The fourth proportional to 9,705.57, 14,536.47 and 6,796.86 is: 10,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.57 : 14,536.47 = 6,796.86 : x
  2. Step 2: Convert to fraction form
    9,705.57/14,536.47 = 6,796.86/x
  3. Step 3: Cross multiply
    9,705.57x = 14,536.47 × 6,796.86
  4. Step 4: Simplify right side
    9,705.57x = 98,802,351.48
  5. Step 5: Solve for x
    x = 98,802,351.48/9,705.57
  6. Step 6: Final answer
    x = 10,179.96

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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.