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Finding the Fourth Proportional to 9,787.57, 14,676.47 and 3,123.19

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Solution

The fourth proportional to 9,787.57, 14,676.47 and 3,123.19 is: 4,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.57 : 14,676.47 = 3,123.19 : x
  2. Step 2: Convert to fraction form
    9,787.57/14,676.47 = 3,123.19/x
  3. Step 3: Cross multiply
    9,787.57x = 14,676.47 × 3,123.19
  4. Step 4: Simplify right side
    9,787.57x = 45,837,436.35
  5. Step 5: Solve for x
    x = 45,837,436.35/9,787.57
  6. Step 6: Final answer
    x = 4,683.23

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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.