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Finding the Fourth Proportional to 6,435.86, 9,653.78 and 3,512.57

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Solution

The fourth proportional to 6,435.86, 9,653.78 and 3,512.57 is: 5,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.86 : 9,653.78 = 3,512.57 : x
  2. Step 2: Convert to fraction form
    6,435.86/9,653.78 = 3,512.57/x
  3. Step 3: Cross multiply
    6,435.86x = 9,653.78 × 3,512.57
  4. Step 4: Simplify right side
    6,435.86x = 33,909,538.53
  5. Step 5: Solve for x
    x = 33,909,538.53/6,435.86
  6. Step 6: Final answer
    x = 5,268.85

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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.