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Finding the Fourth Proportional to 12,291.63, 16,961.76 and 6,986.04

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Solution

The fourth proportional to 12,291.63, 16,961.76 and 6,986.04 is: 9,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.63 : 16,961.76 = 6,986.04 : x
  2. Step 2: Convert to fraction form
    12,291.63/16,961.76 = 6,986.04/x
  3. Step 3: Cross multiply
    12,291.63x = 16,961.76 × 6,986.04
  4. Step 4: Simplify right side
    12,291.63x = 118,495,533.83
  5. Step 5: Solve for x
    x = 118,495,533.83/12,291.63
  6. Step 6: Final answer
    x = 9,640.34

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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.