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Finding the Fourth Proportional to 9,049, 12,503.14 and 7,474.28

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Solution

The fourth proportional to 9,049, 12,503.14 and 7,474.28 is: 10,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049 : 12,503.14 = 7,474.28 : x
  2. Step 2: Convert to fraction form
    9,049/12,503.14 = 7,474.28/x
  3. Step 3: Cross multiply
    9,049x = 12,503.14 × 7,474.28
  4. Step 4: Simplify right side
    9,049x = 93,451,969.24
  5. Step 5: Solve for x
    x = 93,451,969.24/9,049
  6. Step 6: Final answer
    x = 10,327.33

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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.