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Finding the Fourth Proportional to 6,726.84, 9,278.18 and 5,188.08

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Solution

The fourth proportional to 6,726.84, 9,278.18 and 5,188.08 is: 7,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.84 : 9,278.18 = 5,188.08 : x
  2. Step 2: Convert to fraction form
    6,726.84/9,278.18 = 5,188.08/x
  3. Step 3: Cross multiply
    6,726.84x = 9,278.18 × 5,188.08
  4. Step 4: Simplify right side
    6,726.84x = 48,135,940.09
  5. Step 5: Solve for x
    x = 48,135,940.09/6,726.84
  6. Step 6: Final answer
    x = 7,155.80

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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.