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Finding the Fourth Proportional to 6,186.40, 9,313.33 and 5,642.08

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Solution

The fourth proportional to 6,186.40, 9,313.33 and 5,642.08 is: 8,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.40 : 9,313.33 = 5,642.08 : x
  2. Step 2: Convert to fraction form
    6,186.40/9,313.33 = 5,642.08/x
  3. Step 3: Cross multiply
    6,186.40x = 9,313.33 × 5,642.08
  4. Step 4: Simplify right side
    6,186.40x = 52,546,552.93
  5. Step 5: Solve for x
    x = 52,546,552.93/6,186.40
  6. Step 6: Final answer
    x = 8,493.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.