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Finding the Fourth Proportional to 9,302.34, 12,835.86 and 5,322.71

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Solution

The fourth proportional to 9,302.34, 12,835.86 and 5,322.71 is: 7,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.34 : 12,835.86 = 5,322.71 : x
  2. Step 2: Convert to fraction form
    9,302.34/12,835.86 = 5,322.71/x
  3. Step 3: Cross multiply
    9,302.34x = 12,835.86 × 5,322.71
  4. Step 4: Simplify right side
    9,302.34x = 68,321,496.20
  5. Step 5: Solve for x
    x = 68,321,496.20/9,302.34
  6. Step 6: Final answer
    x = 7,344.55

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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.