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Finding the Fourth Proportional to 9,401.49, 12,974.06 and 5,624.81

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Solution

The fourth proportional to 9,401.49, 12,974.06 and 5,624.81 is: 7,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.49 : 12,974.06 = 5,624.81 : x
  2. Step 2: Convert to fraction form
    9,401.49/12,974.06 = 5,624.81/x
  3. Step 3: Cross multiply
    9,401.49x = 12,974.06 × 5,624.81
  4. Step 4: Simplify right side
    9,401.49x = 72,976,529.43
  5. Step 5: Solve for x
    x = 72,976,529.43/9,401.49
  6. Step 6: Final answer
    x = 7,762.23

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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.