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Finding the Fourth Proportional to 9,205.02, 13,796.73 and 3,938.50

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Solution

The fourth proportional to 9,205.02, 13,796.73 and 3,938.50 is: 5,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.02 : 13,796.73 = 3,938.50 : x
  2. Step 2: Convert to fraction form
    9,205.02/13,796.73 = 3,938.50/x
  3. Step 3: Cross multiply
    9,205.02x = 13,796.73 × 3,938.50
  4. Step 4: Simplify right side
    9,205.02x = 54,338,421.11
  5. Step 5: Solve for x
    x = 54,338,421.11/9,205.02
  6. Step 6: Final answer
    x = 5,903.13

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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.