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Finding the Fourth Proportional to 9,293.52, 12,824.24 and 5,313.98

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Solution

The fourth proportional to 9,293.52, 12,824.24 and 5,313.98 is: 7,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.52 : 12,824.24 = 5,313.98 : x
  2. Step 2: Convert to fraction form
    9,293.52/12,824.24 = 5,313.98/x
  3. Step 3: Cross multiply
    9,293.52x = 12,824.24 × 5,313.98
  4. Step 4: Simplify right side
    9,293.52x = 68,147,754.88
  5. Step 5: Solve for x
    x = 68,147,754.88/9,293.52
  6. Step 6: Final answer
    x = 7,332.82

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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.