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Finding the Fourth Proportional to 6,703.48, 9,243.51 and 4,184.68

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Solution

The fourth proportional to 6,703.48, 9,243.51 and 4,184.68 is: 5,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.48 : 9,243.51 = 4,184.68 : x
  2. Step 2: Convert to fraction form
    6,703.48/9,243.51 = 4,184.68/x
  3. Step 3: Cross multiply
    6,703.48x = 9,243.51 × 4,184.68
  4. Step 4: Simplify right side
    6,703.48x = 38,681,131.43
  5. Step 5: Solve for x
    x = 38,681,131.43/6,703.48
  6. Step 6: Final answer
    x = 5,770.31

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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.