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Finding the Fourth Proportional to 9,022.50, 12,451.05 and 5,485.05

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Solution

The fourth proportional to 9,022.50, 12,451.05 and 5,485.05 is: 7,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.50 : 12,451.05 = 5,485.05 : x
  2. Step 2: Convert to fraction form
    9,022.50/12,451.05 = 5,485.05/x
  3. Step 3: Cross multiply
    9,022.50x = 12,451.05 × 5,485.05
  4. Step 4: Simplify right side
    9,022.50x = 68,294,631.80
  5. Step 5: Solve for x
    x = 68,294,631.80/9,022.50
  6. Step 6: Final answer
    x = 7,569.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.