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Finding the Fourth Proportional to 7,071.76, 9,751.36 and 5,964.88

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Solution

The fourth proportional to 7,071.76, 9,751.36 and 5,964.88 is: 8,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.76 : 9,751.36 = 5,964.88 : x
  2. Step 2: Convert to fraction form
    7,071.76/9,751.36 = 5,964.88/x
  3. Step 3: Cross multiply
    7,071.76x = 9,751.36 × 5,964.88
  4. Step 4: Simplify right side
    7,071.76x = 58,165,692.24
  5. Step 5: Solve for x
    x = 58,165,692.24/7,071.76
  6. Step 6: Final answer
    x = 8,225.07

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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.