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Finding the Fourth Proportional to 9,462.02, 13,032.97 and 7,202.12

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Solution

The fourth proportional to 9,462.02, 13,032.97 and 7,202.12 is: 9,920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.02 : 13,032.97 = 7,202.12 : x
  2. Step 2: Convert to fraction form
    9,462.02/13,032.97 = 7,202.12/x
  3. Step 3: Cross multiply
    9,462.02x = 13,032.97 × 7,202.12
  4. Step 4: Simplify right side
    9,462.02x = 93,864,930.73
  5. Step 5: Solve for x
    x = 93,864,930.73/9,462.02
  6. Step 6: Final answer
    x = 9,920.18

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