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Finding the Fourth Proportional to 6,076.47, 9,115.92 and 1,916.87

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Solution

The fourth proportional to 6,076.47, 9,115.92 and 1,916.87 is: 2,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.47 : 9,115.92 = 1,916.87 : x
  2. Step 2: Convert to fraction form
    6,076.47/9,115.92 = 1,916.87/x
  3. Step 3: Cross multiply
    6,076.47x = 9,115.92 × 1,916.87
  4. Step 4: Simplify right side
    6,076.47x = 17,474,033.57
  5. Step 5: Solve for x
    x = 17,474,033.57/6,076.47
  6. Step 6: Final answer
    x = 2,875.69

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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.