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Finding the Fourth Proportional to 6,749.26, 9,314.59 and 4,097.34

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Solution

The fourth proportional to 6,749.26, 9,314.59 and 4,097.34 is: 5,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.26 : 9,314.59 = 4,097.34 : x
  2. Step 2: Convert to fraction form
    6,749.26/9,314.59 = 4,097.34/x
  3. Step 3: Cross multiply
    6,749.26x = 9,314.59 × 4,097.34
  4. Step 4: Simplify right side
    6,749.26x = 38,165,042.19
  5. Step 5: Solve for x
    x = 38,165,042.19/6,749.26
  6. Step 6: Final answer
    x = 5,654.70

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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.