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Finding the Fourth Proportional to 6,478.60, 9,720.30 and 6,238.60

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Solution

The fourth proportional to 6,478.60, 9,720.30 and 6,238.60 is: 9,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.60 : 9,720.30 = 6,238.60 : x
  2. Step 2: Convert to fraction form
    6,478.60/9,720.30 = 6,238.60/x
  3. Step 3: Cross multiply
    6,478.60x = 9,720.30 × 6,238.60
  4. Step 4: Simplify right side
    6,478.60x = 60,641,063.58
  5. Step 5: Solve for x
    x = 60,641,063.58/6,478.60
  6. Step 6: Final answer
    x = 9,360.21

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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.