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Finding the Fourth Proportional to 9,787.43, 14,673.96 and 6,281.42

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Solution

The fourth proportional to 9,787.43, 14,673.96 and 6,281.42 is: 9,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.43 : 14,673.96 = 6,281.42 : x
  2. Step 2: Convert to fraction form
    9,787.43/14,673.96 = 6,281.42/x
  3. Step 3: Cross multiply
    9,787.43x = 14,673.96 × 6,281.42
  4. Step 4: Simplify right side
    9,787.43x = 92,173,232.45
  5. Step 5: Solve for x
    x = 92,173,232.45/9,787.43
  6. Step 6: Final answer
    x = 9,417.51

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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.