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Finding the Fourth Proportional to 6,713.86, 9,268.29 and 5,218.18

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Solution

The fourth proportional to 6,713.86, 9,268.29 and 5,218.18 is: 7,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.86 : 9,268.29 = 5,218.18 : x
  2. Step 2: Convert to fraction form
    6,713.86/9,268.29 = 5,218.18/x
  3. Step 3: Cross multiply
    6,713.86x = 9,268.29 × 5,218.18
  4. Step 4: Simplify right side
    6,713.86x = 48,363,605.51
  5. Step 5: Solve for x
    x = 48,363,605.51/6,713.86
  6. Step 6: Final answer
    x = 7,203.55

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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.