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Finding the Fourth Proportional to 9,071.94, 13,613.76 and 3,228.60

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Solution

The fourth proportional to 9,071.94, 13,613.76 and 3,228.60 is: 4,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.94 : 13,613.76 = 3,228.60 : x
  2. Step 2: Convert to fraction form
    9,071.94/13,613.76 = 3,228.60/x
  3. Step 3: Cross multiply
    9,071.94x = 13,613.76 × 3,228.60
  4. Step 4: Simplify right side
    9,071.94x = 43,953,385.54
  5. Step 5: Solve for x
    x = 43,953,385.54/9,071.94
  6. Step 6: Final answer
    x = 4,844.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.