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Finding the Fourth Proportional to 6,308.60, 9,463 and 2,091.86

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Solution

The fourth proportional to 6,308.60, 9,463 and 2,091.86 is: 3,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.60 : 9,463 = 2,091.86 : x
  2. Step 2: Convert to fraction form
    6,308.60/9,463 = 2,091.86/x
  3. Step 3: Cross multiply
    6,308.60x = 9,463 × 2,091.86
  4. Step 4: Simplify right side
    6,308.60x = 19,795,271.18
  5. Step 5: Solve for x
    x = 19,795,271.18/6,308.60
  6. Step 6: Final answer
    x = 3,137.82

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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.