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Finding the Fourth Proportional to 9,302.56, 12,838.36 and 5,322.88

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Solution

The fourth proportional to 9,302.56, 12,838.36 and 5,322.88 is: 7,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.56 : 12,838.36 = 5,322.88 : x
  2. Step 2: Convert to fraction form
    9,302.56/12,838.36 = 5,322.88/x
  3. Step 3: Cross multiply
    9,302.56x = 12,838.36 × 5,322.88
  4. Step 4: Simplify right side
    9,302.56x = 68,337,049.68
  5. Step 5: Solve for x
    x = 68,337,049.68/9,302.56
  6. Step 6: Final answer
    x = 7,346.05

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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.