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Finding the Fourth Proportional to 9,202.40, 13,801.08 and 4,007.12

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Solution

The fourth proportional to 9,202.40, 13,801.08 and 4,007.12 is: 6,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.40 : 13,801.08 = 4,007.12 : x
  2. Step 2: Convert to fraction form
    9,202.40/13,801.08 = 4,007.12/x
  3. Step 3: Cross multiply
    9,202.40x = 13,801.08 × 4,007.12
  4. Step 4: Simplify right side
    9,202.40x = 55,302,583.69
  5. Step 5: Solve for x
    x = 55,302,583.69/9,202.40
  6. Step 6: Final answer
    x = 6,009.58

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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.