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Finding the Fourth Proportional to 6,419.64, 9,630.90 and 2,037.24

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Solution

The fourth proportional to 6,419.64, 9,630.90 and 2,037.24 is: 3,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.64 : 9,630.90 = 2,037.24 : x
  2. Step 2: Convert to fraction form
    6,419.64/9,630.90 = 2,037.24/x
  3. Step 3: Cross multiply
    6,419.64x = 9,630.90 × 2,037.24
  4. Step 4: Simplify right side
    6,419.64x = 19,620,454.72
  5. Step 5: Solve for x
    x = 19,620,454.72/6,419.64
  6. Step 6: Final answer
    x = 3,056.32

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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.