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Finding the Fourth Proportional to 9,293.43, 12,825.09 and 5,314.89

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Solution

The fourth proportional to 9,293.43, 12,825.09 and 5,314.89 is: 7,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.43 : 12,825.09 = 5,314.89 : x
  2. Step 2: Convert to fraction form
    9,293.43/12,825.09 = 5,314.89/x
  3. Step 3: Cross multiply
    9,293.43x = 12,825.09 × 5,314.89
  4. Step 4: Simplify right side
    9,293.43x = 68,163,942.59
  5. Step 5: Solve for x
    x = 68,163,942.59/9,293.43
  6. Step 6: Final answer
    x = 7,334.64

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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.