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Finding the Fourth Proportional to 9,994.16, 13,796.66 and 9,046.46

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Solution

The fourth proportional to 9,994.16, 13,796.66 and 9,046.46 is: 12,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.16 : 13,796.66 = 9,046.46 : x
  2. Step 2: Convert to fraction form
    9,994.16/13,796.66 = 9,046.46/x
  3. Step 3: Cross multiply
    9,994.16x = 13,796.66 × 9,046.46
  4. Step 4: Simplify right side
    9,994.16x = 124,810,932.82
  5. Step 5: Solve for x
    x = 124,810,932.82/9,994.16
  6. Step 6: Final answer
    x = 12,488.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.