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Finding the Fourth Proportional to 6,203.34, 9,260.78 and 5,944.14

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Solution

The fourth proportional to 6,203.34, 9,260.78 and 5,944.14 is: 8,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.34 : 9,260.78 = 5,944.14 : x
  2. Step 2: Convert to fraction form
    6,203.34/9,260.78 = 5,944.14/x
  3. Step 3: Cross multiply
    6,203.34x = 9,260.78 × 5,944.14
  4. Step 4: Simplify right side
    6,203.34x = 55,047,343.11
  5. Step 5: Solve for x
    x = 55,047,343.11/6,203.34
  6. Step 6: Final answer
    x = 8,873.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.