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Finding the Fourth Proportional to 6,743.70, 9,303.75 and 4,090.14

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Solution

The fourth proportional to 6,743.70, 9,303.75 and 4,090.14 is: 5,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.70 : 9,303.75 = 4,090.14 : x
  2. Step 2: Convert to fraction form
    6,743.70/9,303.75 = 4,090.14/x
  3. Step 3: Cross multiply
    6,743.70x = 9,303.75 × 4,090.14
  4. Step 4: Simplify right side
    6,743.70x = 38,053,640.03
  5. Step 5: Solve for x
    x = 38,053,640.03/6,743.70
  6. Step 6: Final answer
    x = 5,642.84

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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.