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Finding the Fourth Proportional to 9,298.48, 12,819.93 and 5,755.54

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Solution

The fourth proportional to 9,298.48, 12,819.93 and 5,755.54 is: 7,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.48 : 12,819.93 = 5,755.54 : x
  2. Step 2: Convert to fraction form
    9,298.48/12,819.93 = 5,755.54/x
  3. Step 3: Cross multiply
    9,298.48x = 12,819.93 × 5,755.54
  4. Step 4: Simplify right side
    9,298.48x = 73,785,619.91
  5. Step 5: Solve for x
    x = 73,785,619.91/9,298.48
  6. Step 6: Final answer
    x = 7,935.23

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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.