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Finding the Fourth Proportional to 9,209.57, 13,804.50 and 3,655.22

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Solution

The fourth proportional to 9,209.57, 13,804.50 and 3,655.22 is: 5,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.57 : 13,804.50 = 3,655.22 : x
  2. Step 2: Convert to fraction form
    9,209.57/13,804.50 = 3,655.22/x
  3. Step 3: Cross multiply
    9,209.57x = 13,804.50 × 3,655.22
  4. Step 4: Simplify right side
    9,209.57x = 50,458,484.49
  5. Step 5: Solve for x
    x = 50,458,484.49/9,209.57
  6. Step 6: Final answer
    x = 5,478.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.