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Finding the Fourth Proportional to 9,994.88, 14,993.13 and 4,072.16

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Solution

The fourth proportional to 9,994.88, 14,993.13 and 4,072.16 is: 6,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.88 : 14,993.13 = 4,072.16 : x
  2. Step 2: Convert to fraction form
    9,994.88/14,993.13 = 4,072.16/x
  3. Step 3: Cross multiply
    9,994.88x = 14,993.13 × 4,072.16
  4. Step 4: Simplify right side
    9,994.88x = 61,054,349.30
  5. Step 5: Solve for x
    x = 61,054,349.30/9,994.88
  6. Step 6: Final answer
    x = 6,108.57

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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.