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Finding the Fourth Proportional to 6,453.60, 9,688.20 and 4,113.60

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Solution

The fourth proportional to 6,453.60, 9,688.20 and 4,113.60 is: 6,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.60 : 9,688.20 = 4,113.60 : x
  2. Step 2: Convert to fraction form
    6,453.60/9,688.20 = 4,113.60/x
  3. Step 3: Cross multiply
    6,453.60x = 9,688.20 × 4,113.60
  4. Step 4: Simplify right side
    6,453.60x = 39,853,379.52
  5. Step 5: Solve for x
    x = 39,853,379.52/6,453.60
  6. Step 6: Final answer
    x = 6,175.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.