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Finding the Fourth Proportional to 6,435.22, 9,637.02 and 3,137.70

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Solution

The fourth proportional to 6,435.22, 9,637.02 and 3,137.70 is: 4,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.22 : 9,637.02 = 3,137.70 : x
  2. Step 2: Convert to fraction form
    6,435.22/9,637.02 = 3,137.70/x
  3. Step 3: Cross multiply
    6,435.22x = 9,637.02 × 3,137.70
  4. Step 4: Simplify right side
    6,435.22x = 30,238,077.65
  5. Step 5: Solve for x
    x = 30,238,077.65/6,435.22
  6. Step 6: Final answer
    x = 4,698.84

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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.