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Finding the Fourth Proportional to 6,076.96, 9,116.97 and 1,916.80

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Solution

The fourth proportional to 6,076.96, 9,116.97 and 1,916.80 is: 2,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.96 : 9,116.97 = 1,916.80 : x
  2. Step 2: Convert to fraction form
    6,076.96/9,116.97 = 1,916.80/x
  3. Step 3: Cross multiply
    6,076.96x = 9,116.97 × 1,916.80
  4. Step 4: Simplify right side
    6,076.96x = 17,475,408.10
  5. Step 5: Solve for x
    x = 17,475,408.10/6,076.96
  6. Step 6: Final answer
    x = 2,875.68

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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.