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Finding the Fourth Proportional to 9,356.00, 14,023.37 and 3,114.54

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Solution

The fourth proportional to 9,356.00, 14,023.37 and 3,114.54 is: 4,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.00 : 14,023.37 = 3,114.54 : x
  2. Step 2: Convert to fraction form
    9,356.00/14,023.37 = 3,114.54/x
  3. Step 3: Cross multiply
    9,356.00x = 14,023.37 × 3,114.54
  4. Step 4: Simplify right side
    9,356.00x = 43,676,331.23
  5. Step 5: Solve for x
    x = 43,676,331.23/9,356.00
  6. Step 6: Final answer
    x = 4,668.27

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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.