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Finding the Fourth Proportional to 6,435.36, 9,634.84 and 4,089.55

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Solution

The fourth proportional to 6,435.36, 9,634.84 and 4,089.55 is: 6,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.36 : 9,634.84 = 4,089.55 : x
  2. Step 2: Convert to fraction form
    6,435.36/9,634.84 = 4,089.55/x
  3. Step 3: Cross multiply
    6,435.36x = 9,634.84 × 4,089.55
  4. Step 4: Simplify right side
    6,435.36x = 39,402,159.92
  5. Step 5: Solve for x
    x = 39,402,159.92/6,435.36
  6. Step 6: Final answer
    x = 6,122.76

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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.