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Finding the Fourth Proportional to 6,749.11, 9,313.14 and 4,097.98

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Solution

The fourth proportional to 6,749.11, 9,313.14 and 4,097.98 is: 5,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.11 : 9,313.14 = 4,097.98 : x
  2. Step 2: Convert to fraction form
    6,749.11/9,313.14 = 4,097.98/x
  3. Step 3: Cross multiply
    6,749.11x = 9,313.14 × 4,097.98
  4. Step 4: Simplify right side
    6,749.11x = 38,165,061.46
  5. Step 5: Solve for x
    x = 38,165,061.46/6,749.11
  6. Step 6: Final answer
    x = 5,654.83

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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.