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Finding the Fourth Proportional to 9,293.88, 12,823.56 and 5,313.96

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Solution

The fourth proportional to 9,293.88, 12,823.56 and 5,313.96 is: 7,332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.88 : 12,823.56 = 5,313.96 : x
  2. Step 2: Convert to fraction form
    9,293.88/12,823.56 = 5,313.96/x
  3. Step 3: Cross multiply
    9,293.88x = 12,823.56 × 5,313.96
  4. Step 4: Simplify right side
    9,293.88x = 68,143,884.90
  5. Step 5: Solve for x
    x = 68,143,884.90/9,293.88
  6. Step 6: Final answer
    x = 7,332.12

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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.