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Finding the Fourth Proportional to 12,298.97, 16,973.34 and 6,994.73

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Solution

The fourth proportional to 12,298.97, 16,973.34 and 6,994.73 is: 9,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.97 : 16,973.34 = 6,994.73 : x
  2. Step 2: Convert to fraction form
    12,298.97/16,973.34 = 6,994.73/x
  3. Step 3: Cross multiply
    12,298.97x = 16,973.34 × 6,994.73
  4. Step 4: Simplify right side
    12,298.97x = 118,723,930.50
  5. Step 5: Solve for x
    x = 118,723,930.50/12,298.97
  6. Step 6: Final answer
    x = 9,653.16

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