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Finding the Fourth Proportional to 12,094.34, 16,690.14 and 6,789.20

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Solution

The fourth proportional to 12,094.34, 16,690.14 and 6,789.20 is: 9,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.34 : 16,690.14 = 6,789.20 : x
  2. Step 2: Convert to fraction form
    12,094.34/16,690.14 = 6,789.20/x
  3. Step 3: Cross multiply
    12,094.34x = 16,690.14 × 6,789.20
  4. Step 4: Simplify right side
    12,094.34x = 113,312,698.49
  5. Step 5: Solve for x
    x = 113,312,698.49/12,094.34
  6. Step 6: Final answer
    x = 9,369.07

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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.