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Finding the Fourth Proportional to 9,310.96, 13,965.72 and 3,071.17

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Solution

The fourth proportional to 9,310.96, 13,965.72 and 3,071.17 is: 4,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.96 : 13,965.72 = 3,071.17 : x
  2. Step 2: Convert to fraction form
    9,310.96/13,965.72 = 3,071.17/x
  3. Step 3: Cross multiply
    9,310.96x = 13,965.72 × 3,071.17
  4. Step 4: Simplify right side
    9,310.96x = 42,891,100.29
  5. Step 5: Solve for x
    x = 42,891,100.29/9,310.96
  6. Step 6: Final answer
    x = 4,606.52

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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.