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Finding the Fourth Proportional to 9,116.43, 13,650.98 and 7,808.60

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Solution

The fourth proportional to 9,116.43, 13,650.98 and 7,808.60 is: 11,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.43 : 13,650.98 = 7,808.60 : x
  2. Step 2: Convert to fraction form
    9,116.43/13,650.98 = 7,808.60/x
  3. Step 3: Cross multiply
    9,116.43x = 13,650.98 × 7,808.60
  4. Step 4: Simplify right side
    9,116.43x = 106,594,935.13
  5. Step 5: Solve for x
    x = 106,594,935.13/9,116.43
  6. Step 6: Final answer
    x = 11,692.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.