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Finding the Fourth Proportional to 9,619.68, 13,278.96 and 7,260.96

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Solution

The fourth proportional to 9,619.68, 13,278.96 and 7,260.96 is: 10,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.68 : 13,278.96 = 7,260.96 : x
  2. Step 2: Convert to fraction form
    9,619.68/13,278.96 = 7,260.96/x
  3. Step 3: Cross multiply
    9,619.68x = 13,278.96 × 7,260.96
  4. Step 4: Simplify right side
    9,619.68x = 96,417,997.40
  5. Step 5: Solve for x
    x = 96,417,997.40/9,619.68
  6. Step 6: Final answer
    x = 10,022.99

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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.