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Finding the Fourth Proportional to 9,972, 14,960.16 and 3,816

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Solution

The fourth proportional to 9,972, 14,960.16 and 3,816 is: 5,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 14,960.16 = 3,816 : x
  2. Step 2: Convert to fraction form
    9,972/14,960.16 = 3,816/x
  3. Step 3: Cross multiply
    9,972x = 14,960.16 × 3,816
  4. Step 4: Simplify right side
    9,972x = 57,087,970.56
  5. Step 5: Solve for x
    x = 57,087,970.56/9,972
  6. Step 6: Final answer
    x = 5,724.83

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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.