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Finding the Fourth Proportional to 7,071.66, 9,733.88 and 6,234.50

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Solution

The fourth proportional to 7,071.66, 9,733.88 and 6,234.50 is: 8,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.66 : 9,733.88 = 6,234.50 : x
  2. Step 2: Convert to fraction form
    7,071.66/9,733.88 = 6,234.50/x
  3. Step 3: Cross multiply
    7,071.66x = 9,733.88 × 6,234.50
  4. Step 4: Simplify right side
    7,071.66x = 60,685,874.86
  5. Step 5: Solve for x
    x = 60,685,874.86/7,071.66
  6. Step 6: Final answer
    x = 8,581.56

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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.