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Finding the Fourth Proportional to 6,429.87, 9,650.24 and 2,537.01

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Solution

The fourth proportional to 6,429.87, 9,650.24 and 2,537.01 is: 3,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.87 : 9,650.24 = 2,537.01 : x
  2. Step 2: Convert to fraction form
    6,429.87/9,650.24 = 2,537.01/x
  3. Step 3: Cross multiply
    6,429.87x = 9,650.24 × 2,537.01
  4. Step 4: Simplify right side
    6,429.87x = 24,482,742.70
  5. Step 5: Solve for x
    x = 24,482,742.70/6,429.87
  6. Step 6: Final answer
    x = 3,807.66

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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.