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Finding the Fourth Proportional to 6,451.20, 9,671.22 and 3,848.70

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Solution

The fourth proportional to 6,451.20, 9,671.22 and 3,848.70 is: 5,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.20 : 9,671.22 = 3,848.70 : x
  2. Step 2: Convert to fraction form
    6,451.20/9,671.22 = 3,848.70/x
  3. Step 3: Cross multiply
    6,451.20x = 9,671.22 × 3,848.70
  4. Step 4: Simplify right side
    6,451.20x = 37,221,624.41
  5. Step 5: Solve for x
    x = 37,221,624.41/6,451.20
  6. Step 6: Final answer
    x = 5,769.72

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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.