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Finding the Fourth Proportional to 9,071.10, 13,605.75 and 3,227.58

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Solution

The fourth proportional to 9,071.10, 13,605.75 and 3,227.58 is: 4,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.10 : 13,605.75 = 3,227.58 : x
  2. Step 2: Convert to fraction form
    9,071.10/13,605.75 = 3,227.58/x
  3. Step 3: Cross multiply
    9,071.10x = 13,605.75 × 3,227.58
  4. Step 4: Simplify right side
    9,071.10x = 43,913,646.59
  5. Step 5: Solve for x
    x = 43,913,646.59/9,071.10
  6. Step 6: Final answer
    x = 4,841.05

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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.