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Finding the Fourth Proportional to 7,214.82, 9,956.25 and 4,071.30

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Solution

The fourth proportional to 7,214.82, 9,956.25 and 4,071.30 is: 5,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.82 : 9,956.25 = 4,071.30 : x
  2. Step 2: Convert to fraction form
    7,214.82/9,956.25 = 4,071.30/x
  3. Step 3: Cross multiply
    7,214.82x = 9,956.25 × 4,071.30
  4. Step 4: Simplify right side
    7,214.82x = 40,534,880.63
  5. Step 5: Solve for x
    x = 40,534,880.63/7,214.82
  6. Step 6: Final answer
    x = 5,618.28

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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.