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Finding the Fourth Proportional to 9,024.54, 13,536.81 and 3,101.10

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Solution

The fourth proportional to 9,024.54, 13,536.81 and 3,101.10 is: 4,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.54 : 13,536.81 = 3,101.10 : x
  2. Step 2: Convert to fraction form
    9,024.54/13,536.81 = 3,101.10/x
  3. Step 3: Cross multiply
    9,024.54x = 13,536.81 × 3,101.10
  4. Step 4: Simplify right side
    9,024.54x = 41,979,001.49
  5. Step 5: Solve for x
    x = 41,979,001.49/9,024.54
  6. Step 6: Final answer
    x = 4,651.65

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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.