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Finding the Fourth Proportional to 6,435.81, 9,652.73 and 1,756.19

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Solution

The fourth proportional to 6,435.81, 9,652.73 and 1,756.19 is: 2,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.81 : 9,652.73 = 1,756.19 : x
  2. Step 2: Convert to fraction form
    6,435.81/9,652.73 = 1,756.19/x
  3. Step 3: Cross multiply
    6,435.81x = 9,652.73 × 1,756.19
  4. Step 4: Simplify right side
    6,435.81x = 16,952,043.25
  5. Step 5: Solve for x
    x = 16,952,043.25/6,435.81
  6. Step 6: Final answer
    x = 2,634.02

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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.