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Finding the Fourth Proportional to 9,362.17, 14,039.81 and 3,812.50

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Solution

The fourth proportional to 9,362.17, 14,039.81 and 3,812.50 is: 5,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.17 : 14,039.81 = 3,812.50 : x
  2. Step 2: Convert to fraction form
    9,362.17/14,039.81 = 3,812.50/x
  3. Step 3: Cross multiply
    9,362.17x = 14,039.81 × 3,812.50
  4. Step 4: Simplify right side
    9,362.17x = 53,526,735.76
  5. Step 5: Solve for x
    x = 53,526,735.76/9,362.17
  6. Step 6: Final answer
    x = 5,717.34

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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.