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Finding the Fourth Proportional to 6,743.96, 9,303.99 and 4,090.40

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Solution

The fourth proportional to 6,743.96, 9,303.99 and 4,090.40 is: 5,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.96 : 9,303.99 = 4,090.40 : x
  2. Step 2: Convert to fraction form
    6,743.96/9,303.99 = 4,090.40/x
  3. Step 3: Cross multiply
    6,743.96x = 9,303.99 × 4,090.40
  4. Step 4: Simplify right side
    6,743.96x = 38,057,040.70
  5. Step 5: Solve for x
    x = 38,057,040.70/6,743.96
  6. Step 6: Final answer
    x = 5,643.13

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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.