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Finding the Fourth Proportional to 9,321.10, 12,863.64 and 5,342.87

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Solution

The fourth proportional to 9,321.10, 12,863.64 and 5,342.87 is: 7,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.10 : 12,863.64 = 5,342.87 : x
  2. Step 2: Convert to fraction form
    9,321.10/12,863.64 = 5,342.87/x
  3. Step 3: Cross multiply
    9,321.10x = 12,863.64 × 5,342.87
  4. Step 4: Simplify right side
    9,321.10x = 68,728,756.25
  5. Step 5: Solve for x
    x = 68,728,756.25/9,321.10
  6. Step 6: Final answer
    x = 7,373.46

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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.