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Finding the Fourth Proportional to 9,787.56, 14,683.50 and 2,862.12

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Solution

The fourth proportional to 9,787.56, 14,683.50 and 2,862.12 is: 4,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.56 : 14,683.50 = 2,862.12 : x
  2. Step 2: Convert to fraction form
    9,787.56/14,683.50 = 2,862.12/x
  3. Step 3: Cross multiply
    9,787.56x = 14,683.50 × 2,862.12
  4. Step 4: Simplify right side
    9,787.56x = 42,025,939.02
  5. Step 5: Solve for x
    x = 42,025,939.02/9,787.56
  6. Step 6: Final answer
    x = 4,293.81

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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.