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Finding the Fourth Proportional to 6,432.90, 9,634.77 and 5,037.54

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Solution

The fourth proportional to 6,432.90, 9,634.77 and 5,037.54 is: 7,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.90 : 9,634.77 = 5,037.54 : x
  2. Step 2: Convert to fraction form
    6,432.90/9,634.77 = 5,037.54/x
  3. Step 3: Cross multiply
    6,432.90x = 9,634.77 × 5,037.54
  4. Step 4: Simplify right side
    6,432.90x = 48,535,539.27
  5. Step 5: Solve for x
    x = 48,535,539.27/6,432.90
  6. Step 6: Final answer
    x = 7,544.89

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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.