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Finding the Fourth Proportional to 9,116.76, 12,580.94 and 5,083.98

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Solution

The fourth proportional to 9,116.76, 12,580.94 and 5,083.98 is: 7,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.76 : 12,580.94 = 5,083.98 : x
  2. Step 2: Convert to fraction form
    9,116.76/12,580.94 = 5,083.98/x
  3. Step 3: Cross multiply
    9,116.76x = 12,580.94 × 5,083.98
  4. Step 4: Simplify right side
    9,116.76x = 63,961,221.92
  5. Step 5: Solve for x
    x = 63,961,221.92/9,116.76
  6. Step 6: Final answer
    x = 7,015.78

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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.