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Finding the Fourth Proportional to 9,981.44, 14,953.44 and 5,039.06

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Solution

The fourth proportional to 9,981.44, 14,953.44 and 5,039.06 is: 7,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.44 : 14,953.44 = 5,039.06 : x
  2. Step 2: Convert to fraction form
    9,981.44/14,953.44 = 5,039.06/x
  3. Step 3: Cross multiply
    9,981.44x = 14,953.44 × 5,039.06
  4. Step 4: Simplify right side
    9,981.44x = 75,351,281.37
  5. Step 5: Solve for x
    x = 75,351,281.37/9,981.44
  6. Step 6: Final answer
    x = 7,549.14

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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.