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Finding the Fourth Proportional to 9,071.76, 12,519.42 and 5,713.30

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Solution

The fourth proportional to 9,071.76, 12,519.42 and 5,713.30 is: 7,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.76 : 12,519.42 = 5,713.30 : x
  2. Step 2: Convert to fraction form
    9,071.76/12,519.42 = 5,713.30/x
  3. Step 3: Cross multiply
    9,071.76x = 12,519.42 × 5,713.30
  4. Step 4: Simplify right side
    9,071.76x = 71,527,202.29
  5. Step 5: Solve for x
    x = 71,527,202.29/9,071.76
  6. Step 6: Final answer
    x = 7,884.60

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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.