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Finding the Fourth Proportional to 6,109.47, 8,429.79 and 3,457.53

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Solution

The fourth proportional to 6,109.47, 8,429.79 and 3,457.53 is: 4,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.47 : 8,429.79 = 3,457.53 : x
  2. Step 2: Convert to fraction form
    6,109.47/8,429.79 = 3,457.53/x
  3. Step 3: Cross multiply
    6,109.47x = 8,429.79 × 3,457.53
  4. Step 4: Simplify right side
    6,109.47x = 29,146,251.82
  5. Step 5: Solve for x
    x = 29,146,251.82/6,109.47
  6. Step 6: Final answer
    x = 4,770.67

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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.