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Finding the Fourth Proportional to 9,981.38, 14,953.61 and 5,039.21

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Solution

The fourth proportional to 9,981.38, 14,953.61 and 5,039.21 is: 7,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.38 : 14,953.61 = 5,039.21 : x
  2. Step 2: Convert to fraction form
    9,981.38/14,953.61 = 5,039.21/x
  3. Step 3: Cross multiply
    9,981.38x = 14,953.61 × 5,039.21
  4. Step 4: Simplify right side
    9,981.38x = 75,354,431.03
  5. Step 5: Solve for x
    x = 75,354,431.03/9,981.38
  6. Step 6: Final answer
    x = 7,549.50

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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.