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Finding the Fourth Proportional to 6,435.37, 9,634.85 and 4,089.56

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Solution

The fourth proportional to 6,435.37, 9,634.85 and 4,089.56 is: 6,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.37 : 9,634.85 = 4,089.56 : x
  2. Step 2: Convert to fraction form
    6,435.37/9,634.85 = 4,089.56/x
  3. Step 3: Cross multiply
    6,435.37x = 9,634.85 × 4,089.56
  4. Step 4: Simplify right side
    6,435.37x = 39,402,228.54
  5. Step 5: Solve for x
    x = 39,402,228.54/6,435.37
  6. Step 6: Final answer
    x = 6,122.77

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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.