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Finding the Fourth Proportional to 9,994.56, 14,989.22 and 2,972.68

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Solution

The fourth proportional to 9,994.56, 14,989.22 and 2,972.68 is: 4,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.56 : 14,989.22 = 2,972.68 : x
  2. Step 2: Convert to fraction form
    9,994.56/14,989.22 = 2,972.68/x
  3. Step 3: Cross multiply
    9,994.56x = 14,989.22 × 2,972.68
  4. Step 4: Simplify right side
    9,994.56x = 44,558,161.94
  5. Step 5: Solve for x
    x = 44,558,161.94/9,994.56
  6. Step 6: Final answer
    x = 4,458.24

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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.