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Finding the Fourth Proportional to 9,165.51, 13,753.58 and 3,900.24

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Solution

The fourth proportional to 9,165.51, 13,753.58 and 3,900.24 is: 5,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.51 : 13,753.58 = 3,900.24 : x
  2. Step 2: Convert to fraction form
    9,165.51/13,753.58 = 3,900.24/x
  3. Step 3: Cross multiply
    9,165.51x = 13,753.58 × 3,900.24
  4. Step 4: Simplify right side
    9,165.51x = 53,642,243.36
  5. Step 5: Solve for x
    x = 53,642,243.36/9,165.51
  6. Step 6: Final answer
    x = 5,852.62

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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.