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Finding the Fourth Proportional to 9,542.60, 14,313.90 and 4,002.20

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Solution

The fourth proportional to 9,542.60, 14,313.90 and 4,002.20 is: 6,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.60 : 14,313.90 = 4,002.20 : x
  2. Step 2: Convert to fraction form
    9,542.60/14,313.90 = 4,002.20/x
  3. Step 3: Cross multiply
    9,542.60x = 14,313.90 × 4,002.20
  4. Step 4: Simplify right side
    9,542.60x = 57,287,090.58
  5. Step 5: Solve for x
    x = 57,287,090.58/9,542.60
  6. Step 6: Final answer
    x = 6,003.30

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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.