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Finding the Fourth Proportional to 12,209.85, 16,849.94 and 6,904.55

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Solution

The fourth proportional to 12,209.85, 16,849.94 and 6,904.55 is: 9,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.85 : 16,849.94 = 6,904.55 : x
  2. Step 2: Convert to fraction form
    12,209.85/16,849.94 = 6,904.55/x
  3. Step 3: Cross multiply
    12,209.85x = 16,849.94 × 6,904.55
  4. Step 4: Simplify right side
    12,209.85x = 116,341,260.83
  5. Step 5: Solve for x
    x = 116,341,260.83/12,209.85
  6. Step 6: Final answer
    x = 9,528.48

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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.