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Finding the Fourth Proportional to 9,278.55, 12,804.21 and 5,086.80

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Solution

The fourth proportional to 9,278.55, 12,804.21 and 5,086.80 is: 7,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.55 : 12,804.21 = 5,086.80 : x
  2. Step 2: Convert to fraction form
    9,278.55/12,804.21 = 5,086.80/x
  3. Step 3: Cross multiply
    9,278.55x = 12,804.21 × 5,086.80
  4. Step 4: Simplify right side
    9,278.55x = 65,132,455.43
  5. Step 5: Solve for x
    x = 65,132,455.43/9,278.55
  6. Step 6: Final answer
    x = 7,019.68

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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.