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Finding the Fourth Proportional to 6,442.20, 9,636.60 and 6,048.60

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Solution

The fourth proportional to 6,442.20, 9,636.60 and 6,048.60 is: 9,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.20 : 9,636.60 = 6,048.60 : x
  2. Step 2: Convert to fraction form
    6,442.20/9,636.60 = 6,048.60/x
  3. Step 3: Cross multiply
    6,442.20x = 9,636.60 × 6,048.60
  4. Step 4: Simplify right side
    6,442.20x = 58,287,938.76
  5. Step 5: Solve for x
    x = 58,287,938.76/6,442.20
  6. Step 6: Final answer
    x = 9,047.83

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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.