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Finding the Fourth Proportional to 9,278.34, 12,804.21 and 5,086.50

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Solution

The fourth proportional to 9,278.34, 12,804.21 and 5,086.50 is: 7,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.34 : 12,804.21 = 5,086.50 : x
  2. Step 2: Convert to fraction form
    9,278.34/12,804.21 = 5,086.50/x
  3. Step 3: Cross multiply
    9,278.34x = 12,804.21 × 5,086.50
  4. Step 4: Simplify right side
    9,278.34x = 65,128,614.17
  5. Step 5: Solve for x
    x = 65,128,614.17/9,278.34
  6. Step 6: Final answer
    x = 7,019.43

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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.