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Finding the Fourth Proportional to 9,126.82, 13,705.82 and 5,451.84

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Solution

The fourth proportional to 9,126.82, 13,705.82 and 5,451.84 is: 8,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.82 : 13,705.82 = 5,451.84 : x
  2. Step 2: Convert to fraction form
    9,126.82/13,705.82 = 5,451.84/x
  3. Step 3: Cross multiply
    9,126.82x = 13,705.82 × 5,451.84
  4. Step 4: Simplify right side
    9,126.82x = 74,721,937.71
  5. Step 5: Solve for x
    x = 74,721,937.71/9,126.82
  6. Step 6: Final answer
    x = 8,187.07

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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.