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Finding the Fourth Proportional to 12,290.09, 16,960.34 and 6,984.77

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Solution

The fourth proportional to 12,290.09, 16,960.34 and 6,984.77 is: 9,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.09 : 16,960.34 = 6,984.77 : x
  2. Step 2: Convert to fraction form
    12,290.09/16,960.34 = 6,984.77/x
  3. Step 3: Cross multiply
    12,290.09x = 16,960.34 × 6,984.77
  4. Step 4: Simplify right side
    12,290.09x = 118,464,081.50
  5. Step 5: Solve for x
    x = 118,464,081.50/12,290.09
  6. Step 6: Final answer
    x = 9,638.99

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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.