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Finding the Fourth Proportional to 6,748.34, 9,318.58 and 4,234.76

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Solution

The fourth proportional to 6,748.34, 9,318.58 and 4,234.76 is: 5,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.34 : 9,318.58 = 4,234.76 : x
  2. Step 2: Convert to fraction form
    6,748.34/9,318.58 = 4,234.76/x
  3. Step 3: Cross multiply
    6,748.34x = 9,318.58 × 4,234.76
  4. Step 4: Simplify right side
    6,748.34x = 39,461,949.84
  5. Step 5: Solve for x
    x = 39,461,949.84/6,748.34
  6. Step 6: Final answer
    x = 5,847.65

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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.