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Finding the Fourth Proportional to 6,276.73, 9,416.52 and 2,116.60

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Solution

The fourth proportional to 6,276.73, 9,416.52 and 2,116.60 is: 3,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.73 : 9,416.52 = 2,116.60 : x
  2. Step 2: Convert to fraction form
    6,276.73/9,416.52 = 2,116.60/x
  3. Step 3: Cross multiply
    6,276.73x = 9,416.52 × 2,116.60
  4. Step 4: Simplify right side
    6,276.73x = 19,931,006.23
  5. Step 5: Solve for x
    x = 19,931,006.23/6,276.73
  6. Step 6: Final answer
    x = 3,175.38

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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.