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Finding the Fourth Proportional to 6,346.78, 9,520.20 and 2,646.70

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Solution

The fourth proportional to 6,346.78, 9,520.20 and 2,646.70 is: 3,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.78 : 9,520.20 = 2,646.70 : x
  2. Step 2: Convert to fraction form
    6,346.78/9,520.20 = 2,646.70/x
  3. Step 3: Cross multiply
    6,346.78x = 9,520.20 × 2,646.70
  4. Step 4: Simplify right side
    6,346.78x = 25,197,113.34
  5. Step 5: Solve for x
    x = 25,197,113.34/6,346.78
  6. Step 6: Final answer
    x = 3,970.06

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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.