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Finding the Fourth Proportional to 6,354.20, 9,542.10 and 4,712.60

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Solution

The fourth proportional to 6,354.20, 9,542.10 and 4,712.60 is: 7,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.20 : 9,542.10 = 4,712.60 : x
  2. Step 2: Convert to fraction form
    6,354.20/9,542.10 = 4,712.60/x
  3. Step 3: Cross multiply
    6,354.20x = 9,542.10 × 4,712.60
  4. Step 4: Simplify right side
    6,354.20x = 44,968,100.46
  5. Step 5: Solve for x
    x = 44,968,100.46/6,354.20
  6. Step 6: Final answer
    x = 7,076.91

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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.